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Finding the Third Proportional to 4,869,902.25 and 7,710,957

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Solution

The third proportional to 4,869,902.25 and 7,710,957 is: 12,209,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869,902.25 : 7,710,957 = 7,710,957 : x
  2. Step 2: Convert to fraction form
    4,869,902.25/7,710,957 = 7,710,957/x
  3. Step 3: Cross multiply
    4,869,902.25x = 7,710,957 × 7,710,957
  4. Step 4: Simplify right side
    4,869,902.25x = 59,458,857,855,849
  5. Step 5: Solve for x
    x = 59,458,857,855,849/4,869,902.25
  6. Step 6: Final answer
    x = 12,209,456.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.