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Finding the Third Proportional to 865,867,461 and 1,890,448,698

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Solution

The third proportional to 865,867,461 and 1,890,448,698 is: 4,127,417,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,867,461 : 1,890,448,698 = 1,890,448,698 : x
  2. Step 2: Convert to fraction form
    865,867,461/1,890,448,698 = 1,890,448,698/x
  3. Step 3: Cross multiply
    865,867,461x = 1,890,448,698 × 1,890,448,698
  4. Step 4: Simplify right side
    865,867,461x = 3,573,796,279,769,895,424
  5. Step 5: Solve for x
    x = 3,573,796,279,769,895,424/865,867,461
  6. Step 6: Final answer
    x = 4,127,417,232.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.