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Finding the Third Proportional to 9,864,102 and 21,613,882

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Solution

The third proportional to 9,864,102 and 21,613,882 is: 47,359,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864,102 : 21,613,882 = 21,613,882 : x
  2. Step 2: Convert to fraction form
    9,864,102/21,613,882 = 21,613,882/x
  3. Step 3: Cross multiply
    9,864,102x = 21,613,882 × 21,613,882
  4. Step 4: Simplify right side
    9,864,102x = 467,159,895,109,924
  5. Step 5: Solve for x
    x = 467,159,895,109,924/9,864,102
  6. Step 6: Final answer
    x = 47,359,596.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.