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Finding the Third Proportional to 29,573,872 and 64,713,416

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Solution

The third proportional to 29,573,872 and 64,713,416 is: 141,605,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,573,872 : 64,713,416 = 64,713,416 : x
  2. Step 2: Convert to fraction form
    29,573,872/64,713,416 = 64,713,416/x
  3. Step 3: Cross multiply
    29,573,872x = 64,713,416 × 64,713,416
  4. Step 4: Simplify right side
    29,573,872x = 4,187,826,210,389,056
  5. Step 5: Solve for x
    x = 4,187,826,210,389,056/29,573,872
  6. Step 6: Final answer
    x = 141,605,610.87

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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.