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Finding the Third Proportional to 8,513,468 and 18,916,506

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Solution

The third proportional to 8,513,468 and 18,916,506 is: 42,031,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513,468 : 18,916,506 = 18,916,506 : x
  2. Step 2: Convert to fraction form
    8,513,468/18,916,506 = 18,916,506/x
  3. Step 3: Cross multiply
    8,513,468x = 18,916,506 × 18,916,506
  4. Step 4: Simplify right side
    8,513,468x = 357,834,199,248,036
  5. Step 5: Solve for x
    x = 357,834,199,248,036/8,513,468
  6. Step 6: Final answer
    x = 42,031,543.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.