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Finding the Third Proportional to 49,316,784 and 78,541,416

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Solution

The third proportional to 49,316,784 and 78,541,416 is: 125,084,272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,316,784 : 78,541,416 = 78,541,416 : x
  2. Step 2: Convert to fraction form
    49,316,784/78,541,416 = 78,541,416/x
  3. Step 3: Cross multiply
    49,316,784x = 78,541,416 × 78,541,416
  4. Step 4: Simplify right side
    49,316,784x = 6,168,754,027,285,056
  5. Step 5: Solve for x
    x = 6,168,754,027,285,056/49,316,784
  6. Step 6: Final answer
    x = 125,084,272.07

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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.