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Finding the Third Proportional to 45,712,842 and 97,625,288

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Solution

The third proportional to 45,712,842 and 97,625,288 is: 208,490,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712,842 : 97,625,288 = 97,625,288 : x
  2. Step 2: Convert to fraction form
    45,712,842/97,625,288 = 97,625,288/x
  3. Step 3: Cross multiply
    45,712,842x = 97,625,288 × 97,625,288
  4. Step 4: Simplify right side
    45,712,842x = 9,530,696,857,082,944
  5. Step 5: Solve for x
    x = 9,530,696,857,082,944/45,712,842
  6. Step 6: Final answer
    x = 208,490,578.14

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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.