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Finding the Third Proportional to 865,243,078,621.50 and 1,271,945,708,798.20

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Solution

The third proportional to 865,243,078,621.50 and 1,271,945,708,798.20 is: 1,869,816,616,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,243,078,621.50 : 1,271,945,708,798.20 = 1,271,945,708,798.20 : x
  2. Step 2: Convert to fraction form
    865,243,078,621.50/1,271,945,708,798.20 = 1,271,945,708,798.20/x
  3. Step 3: Cross multiply
    865,243,078,621.50x = 1,271,945,708,798.20 × 1,271,945,708,798.20
  4. Step 4: Simplify right side
    865,243,078,621.50x = 1,617,845,886,130,155,281,186,816
  5. Step 5: Solve for x
    x = 1,617,845,886,130,155,281,186,816/865,243,078,621.50
  6. Step 6: Final answer
    x = 1,869,816,616,976.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.