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Finding the Third Proportional to 10,463,850 and 15,706,209

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Solution

The third proportional to 10,463,850 and 15,706,209 is: 23,574,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463,850 : 15,706,209 = 15,706,209 : x
  2. Step 2: Convert to fraction form
    10,463,850/15,706,209 = 15,706,209/x
  3. Step 3: Cross multiply
    10,463,850x = 15,706,209 × 15,706,209
  4. Step 4: Simplify right side
    10,463,850x = 246,685,001,151,681
  5. Step 5: Solve for x
    x = 246,685,001,151,681/10,463,850
  6. Step 6: Final answer
    x = 23,574,974.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.