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Finding the Third Proportional to 29,824,712 and 65,231,664

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Solution

The third proportional to 29,824,712 and 65,231,664 is: 142,672,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824,712 : 65,231,664 = 65,231,664 : x
  2. Step 2: Convert to fraction form
    29,824,712/65,231,664 = 65,231,664/x
  3. Step 3: Cross multiply
    29,824,712x = 65,231,664 × 65,231,664
  4. Step 4: Simplify right side
    29,824,712x = 4,255,169,988,208,896
  5. Step 5: Solve for x
    x = 4,255,169,988,208,896/29,824,712
  6. Step 6: Final answer
    x = 142,672,626.25

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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.