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Finding the Third Proportional to 45,712,821 and 97,625,241

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Solution

The third proportional to 45,712,821 and 97,625,241 is: 208,490,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712,821 : 97,625,241 = 97,625,241 : x
  2. Step 2: Convert to fraction form
    45,712,821/97,625,241 = 97,625,241/x
  3. Step 3: Cross multiply
    45,712,821x = 97,625,241 × 97,625,241
  4. Step 4: Simplify right side
    45,712,821x = 9,530,687,680,308,080
  5. Step 5: Solve for x
    x = 9,530,687,680,308,080/45,712,821
  6. Step 6: Final answer
    x = 208,490,473.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.