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Finding the Third Proportional to 65,936,438 and 96,929,066

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Solution

The third proportional to 65,936,438 and 96,929,066 is: 142,489,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,936,438 : 96,929,066 = 96,929,066 : x
  2. Step 2: Convert to fraction form
    65,936,438/96,929,066 = 96,929,066/x
  3. Step 3: Cross multiply
    65,936,438x = 96,929,066 × 96,929,066
  4. Step 4: Simplify right side
    65,936,438x = 9,395,243,835,632,356
  5. Step 5: Solve for x
    x = 9,395,243,835,632,356/65,936,438
  6. Step 6: Final answer
    x = 142,489,405.26

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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.