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Finding the Third Proportional to 559,387,883.25 and 877,514,512.50

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Solution

The third proportional to 559,387,883.25 and 877,514,512.50 is: 1,376,561,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,387,883.25 : 877,514,512.50 = 877,514,512.50 : x
  2. Step 2: Convert to fraction form
    559,387,883.25/877,514,512.50 = 877,514,512.50/x
  3. Step 3: Cross multiply
    559,387,883.25x = 877,514,512.50 × 877,514,512.50
  4. Step 4: Simplify right side
    559,387,883.25x = 770,031,719,648,112,640
  5. Step 5: Solve for x
    x = 770,031,719,648,112,640/559,387,883.25
  6. Step 6: Final answer
    x = 1,376,561,314.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.