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Finding the Third Proportional to 5,613,486 and 7,371,013.50

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Solution

The third proportional to 5,613,486 and 7,371,013.50 is: 9,678,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613,486 : 7,371,013.50 = 7,371,013.50 : x
  2. Step 2: Convert to fraction form
    5,613,486/7,371,013.50 = 7,371,013.50/x
  3. Step 3: Cross multiply
    5,613,486x = 7,371,013.50 × 7,371,013.50
  4. Step 4: Simplify right side
    5,613,486x = 54,331,840,017,182.25
  5. Step 5: Solve for x
    x = 54,331,840,017,182.25/5,613,486
  6. Step 6: Final answer
    x = 9,678,805.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.