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Finding the Third Proportional to 38,580,548 and 82,466,998

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Solution

The third proportional to 38,580,548 and 82,466,998 is: 176,275,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,548 : 82,466,998 = 82,466,998 : x
  2. Step 2: Convert to fraction form
    38,580,548/82,466,998 = 82,466,998/x
  3. Step 3: Cross multiply
    38,580,548x = 82,466,998 × 82,466,998
  4. Step 4: Simplify right side
    38,580,548x = 6,800,805,759,132,004
  5. Step 5: Solve for x
    x = 6,800,805,759,132,004/38,580,548
  6. Step 6: Final answer
    x = 176,275,509.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.