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Finding the Third Proportional to 49,316,786 and 78,541,419

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Solution

The third proportional to 49,316,786 and 78,541,419 is: 125,084,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,316,786 : 78,541,419 = 78,541,419 : x
  2. Step 2: Convert to fraction form
    49,316,786/78,541,419 = 78,541,419/x
  3. Step 3: Cross multiply
    49,316,786x = 78,541,419 × 78,541,419
  4. Step 4: Simplify right side
    49,316,786x = 6,168,754,498,533,561
  5. Step 5: Solve for x
    x = 6,168,754,498,533,561/49,316,786
  6. Step 6: Final answer
    x = 125,084,276.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.