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Finding the Third Proportional to 47,446,603 and 103,594,549

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Solution

The third proportional to 47,446,603 and 103,594,549 is: 226,187,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,446,603 : 103,594,549 = 103,594,549 : x
  2. Step 2: Convert to fraction form
    47,446,603/103,594,549 = 103,594,549/x
  3. Step 3: Cross multiply
    47,446,603x = 103,594,549 × 103,594,549
  4. Step 4: Simplify right side
    47,446,603x = 10,731,830,582,513,400
  5. Step 5: Solve for x
    x = 10,731,830,582,513,400/47,446,603
  6. Step 6: Final answer
    x = 226,187,543.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.