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Finding the Third Proportional to 4,869,909 and 7,710,967.13

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Solution

The third proportional to 4,869,909 and 7,710,967.13 is: 12,209,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869,909 : 7,710,967.13 = 7,710,967.13 : x
  2. Step 2: Convert to fraction form
    4,869,909/7,710,967.13 = 7,710,967.13/x
  3. Step 3: Cross multiply
    4,869,909x = 7,710,967.13 × 7,710,967.13
  4. Step 4: Simplify right side
    4,869,909x = 59,459,014,002,830.77
  5. Step 5: Solve for x
    x = 59,459,014,002,830.77/4,869,909
  6. Step 6: Final answer
    x = 12,209,471.27

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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.