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Finding the Third Proportional to 10,143,448 and 21,884,776

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Solution

The third proportional to 10,143,448 and 21,884,776 is: 47,217,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143,448 : 21,884,776 = 21,884,776 : x
  2. Step 2: Convert to fraction form
    10,143,448/21,884,776 = 21,884,776/x
  3. Step 3: Cross multiply
    10,143,448x = 21,884,776 × 21,884,776
  4. Step 4: Simplify right side
    10,143,448x = 478,943,420,570,176
  5. Step 5: Solve for x
    x = 478,943,420,570,176/10,143,448
  6. Step 6: Final answer
    x = 47,217,023.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.