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Finding the Third Proportional to 865,243,078,706 and 1,271,945,708,922

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Solution

The third proportional to 865,243,078,706 and 1,271,945,708,922 is: 1,869,816,617,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,243,078,706 : 1,271,945,708,922 = 1,271,945,708,922 : x
  2. Step 2: Convert to fraction form
    865,243,078,706/1,271,945,708,922 = 1,271,945,708,922/x
  3. Step 3: Cross multiply
    865,243,078,706x = 1,271,945,708,922 × 1,271,945,708,922
  4. Step 4: Simplify right side
    865,243,078,706x = 1,617,845,886,445,089,126,875,136
  5. Step 5: Solve for x
    x = 1,617,845,886,445,089,126,875,136/865,243,078,706
  6. Step 6: Final answer
    x = 1,869,816,617,157.61

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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.