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Finding the Third Proportional to 47,446,607 and 103,594,557

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Solution

The third proportional to 47,446,607 and 103,594,557 is: 226,187,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,446,607 : 103,594,557 = 103,594,557 : x
  2. Step 2: Convert to fraction form
    47,446,607/103,594,557 = 103,594,557/x
  3. Step 3: Cross multiply
    47,446,607x = 103,594,557 × 103,594,557
  4. Step 4: Simplify right side
    47,446,607x = 10,731,832,240,026,248
  5. Step 5: Solve for x
    x = 10,731,832,240,026,248/47,446,607
  6. Step 6: Final answer
    x = 226,187,559.42

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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.