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Finding the Third Proportional to 10,069,413 and 15,486,405

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Solution

The third proportional to 10,069,413 and 15,486,405 is: 23,817,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069,413 : 15,486,405 = 15,486,405 : x
  2. Step 2: Convert to fraction form
    10,069,413/15,486,405 = 15,486,405/x
  3. Step 3: Cross multiply
    10,069,413x = 15,486,405 × 15,486,405
  4. Step 4: Simplify right side
    10,069,413x = 239,828,739,824,025
  5. Step 5: Solve for x
    x = 239,828,739,824,025/10,069,413
  6. Step 6: Final answer
    x = 23,817,549.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.