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Finding the Third Proportional to 45,712,905 and 97,625,408

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Solution

The third proportional to 45,712,905 and 97,625,408 is: 208,490,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712,905 : 97,625,408 = 97,625,408 : x
  2. Step 2: Convert to fraction form
    45,712,905/97,625,408 = 97,625,408/x
  3. Step 3: Cross multiply
    45,712,905x = 97,625,408 × 97,625,408
  4. Step 4: Simplify right side
    45,712,905x = 9,530,720,287,166,464
  5. Step 5: Solve for x
    x = 9,530,720,287,166,464/45,712,905
  6. Step 6: Final answer
    x = 208,490,803.36

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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.