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Finding the Third Proportional to 29,650,784 and 64,970,272

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Solution

The third proportional to 29,650,784 and 64,970,272 is: 142,361,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,650,784 : 64,970,272 = 64,970,272 : x
  2. Step 2: Convert to fraction form
    29,650,784/64,970,272 = 64,970,272/x
  3. Step 3: Cross multiply
    29,650,784x = 64,970,272 × 64,970,272
  4. Step 4: Simplify right side
    29,650,784x = 4,221,136,243,753,984
  5. Step 5: Solve for x
    x = 4,221,136,243,753,984/29,650,784
  6. Step 6: Final answer
    x = 142,361,707.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.