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Finding the Third Proportional to 47,992,878 and 77,284,341

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Solution

The third proportional to 47,992,878 and 77,284,341 is: 124,453,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,992,878 : 77,284,341 = 77,284,341 : x
  2. Step 2: Convert to fraction form
    47,992,878/77,284,341 = 77,284,341/x
  3. Step 3: Cross multiply
    47,992,878x = 77,284,341 × 77,284,341
  4. Step 4: Simplify right side
    47,992,878x = 5,972,869,363,804,281
  5. Step 5: Solve for x
    x = 5,972,869,363,804,281/47,992,878
  6. Step 6: Final answer
    x = 124,453,244.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.