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Finding the Third Proportional to 29,888,376 and 65,748,720

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Solution

The third proportional to 29,888,376 and 65,748,720 is: 144,634,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,888,376 : 65,748,720 = 65,748,720 : x
  2. Step 2: Convert to fraction form
    29,888,376/65,748,720 = 65,748,720/x
  3. Step 3: Cross multiply
    29,888,376x = 65,748,720 × 65,748,720
  4. Step 4: Simplify right side
    29,888,376x = 4,322,894,181,638,400
  5. Step 5: Solve for x
    x = 4,322,894,181,638,400/29,888,376
  6. Step 6: Final answer
    x = 144,634,629.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.