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Finding the Third Proportional to 6,500,071.13 and 15,371,947.13

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Solution

The third proportional to 6,500,071.13 and 15,371,947.13 is: 36,352,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,071.13 : 15,371,947.13 = 15,371,947.13 : x
  2. Step 2: Convert to fraction form
    6,500,071.13/15,371,947.13 = 15,371,947.13/x
  3. Step 3: Cross multiply
    6,500,071.13x = 15,371,947.13 × 15,371,947.13
  4. Step 4: Simplify right side
    6,500,071.13x = 236,296,758,413,795.75
  5. Step 5: Solve for x
    x = 236,296,758,413,795.75/6,500,071.13
  6. Step 6: Final answer
    x = 36,352,949.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.