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Finding the Third Proportional to 29,960,302.50 and 64,471,069.13

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Solution

The third proportional to 29,960,302.50 and 64,471,069.13 is: 138,734,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,960,302.50 : 64,471,069.13 = 64,471,069.13 : x
  2. Step 2: Convert to fraction form
    29,960,302.50/64,471,069.13 = 64,471,069.13/x
  3. Step 3: Cross multiply
    29,960,302.50x = 64,471,069.13 × 64,471,069.13
  4. Step 4: Simplify right side
    29,960,302.50x = 4,156,518,754,120,528.50
  5. Step 5: Solve for x
    x = 4,156,518,754,120,528.50/29,960,302.50
  6. Step 6: Final answer
    x = 138,734,205.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.