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Finding the Third Proportional to 21,564,778 and 46,417,847

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Solution

The third proportional to 21,564,778 and 46,417,847 is: 99,913,688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564,778 : 46,417,847 = 46,417,847 : x
  2. Step 2: Convert to fraction form
    21,564,778/46,417,847 = 46,417,847/x
  3. Step 3: Cross multiply
    21,564,778x = 46,417,847 × 46,417,847
  4. Step 4: Simplify right side
    21,564,778x = 2,154,616,520,115,409
  5. Step 5: Solve for x
    x = 2,154,616,520,115,409/21,564,778
  6. Step 6: Final answer
    x = 99,913,688.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.