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Finding the Third Proportional to 45,157,710 and 67,838,229

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Solution

The third proportional to 45,157,710 and 67,838,229 is: 101,910,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,157,710 : 67,838,229 = 67,838,229 : x
  2. Step 2: Convert to fraction form
    45,157,710/67,838,229 = 67,838,229/x
  3. Step 3: Cross multiply
    45,157,710x = 67,838,229 × 67,838,229
  4. Step 4: Simplify right side
    45,157,710x = 4,602,025,313,856,441
  5. Step 5: Solve for x
    x = 4,602,025,313,856,441/45,157,710
  6. Step 6: Final answer
    x = 101,910,068.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.