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Finding the Third Proportional to 29,573,874.50 and 64,713,421

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Solution

The third proportional to 29,573,874.50 and 64,713,421 is: 141,605,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,573,874.50 : 64,713,421 = 64,713,421 : x
  2. Step 2: Convert to fraction form
    29,573,874.50/64,713,421 = 64,713,421/x
  3. Step 3: Cross multiply
    29,573,874.50x = 64,713,421 × 64,713,421
  4. Step 4: Simplify right side
    29,573,874.50x = 4,187,826,857,523,241
  5. Step 5: Solve for x
    x = 4,187,826,857,523,241/29,573,874.50
  6. Step 6: Final answer
    x = 141,605,620.78

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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.