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Finding the Third Proportional to 861,317,470 and 1,889,387,856

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Solution

The third proportional to 861,317,470 and 1,889,387,856 is: 4,144,565,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,317,470 : 1,889,387,856 = 1,889,387,856 : x
  2. Step 2: Convert to fraction form
    861,317,470/1,889,387,856 = 1,889,387,856/x
  3. Step 3: Cross multiply
    861,317,470x = 1,889,387,856 × 1,889,387,856
  4. Step 4: Simplify right side
    861,317,470x = 3,569,786,470,400,276,480
  5. Step 5: Solve for x
    x = 3,569,786,470,400,276,480/861,317,470
  6. Step 6: Final answer
    x = 4,144,565,267.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.