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Finding the Third Proportional to 45,238,014 and 97,650,684

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Solution

The third proportional to 45,238,014 and 97,650,684 is: 210,788,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,238,014 : 97,650,684 = 97,650,684 : x
  2. Step 2: Convert to fraction form
    45,238,014/97,650,684 = 97,650,684/x
  3. Step 3: Cross multiply
    45,238,014x = 97,650,684 × 97,650,684
  4. Step 4: Simplify right side
    45,238,014x = 9,535,656,085,667,856
  5. Step 5: Solve for x
    x = 9,535,656,085,667,856/45,238,014
  6. Step 6: Final answer
    x = 210,788,565.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.