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Finding the Third Proportional to 48,191,946 and 73,417,498

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Solution

The third proportional to 48,191,946 and 73,417,498 is: 111,847,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,191,946 : 73,417,498 = 73,417,498 : x
  2. Step 2: Convert to fraction form
    48,191,946/73,417,498 = 73,417,498/x
  3. Step 3: Cross multiply
    48,191,946x = 73,417,498 × 73,417,498
  4. Step 4: Simplify right side
    48,191,946x = 5,390,129,012,580,004
  5. Step 5: Solve for x
    x = 5,390,129,012,580,004/48,191,946
  6. Step 6: Final answer
    x = 111,847,091.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.