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Finding the Third Proportional to 865,243,078,668 and 1,271,945,708,862

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Solution

The third proportional to 865,243,078,668 and 1,271,945,708,862 is: 1,869,816,617,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,243,078,668 : 1,271,945,708,862 = 1,271,945,708,862 : x
  2. Step 2: Convert to fraction form
    865,243,078,668/1,271,945,708,862 = 1,271,945,708,862/x
  3. Step 3: Cross multiply
    865,243,078,668x = 1,271,945,708,862 × 1,271,945,708,862
  4. Step 4: Simplify right side
    865,243,078,668x = 1,617,845,886,292,455,652,851,712
  5. Step 5: Solve for x
    x = 1,617,845,886,292,455,652,851,712/865,243,078,668
  6. Step 6: Final answer
    x = 1,869,816,617,063.32

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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.