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Finding the Third Proportional to 870,720,195 and 1,894,488,774

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Solution

The third proportional to 870,720,195 and 1,894,488,774 is: 4,121,975,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,720,195 : 1,894,488,774 = 1,894,488,774 : x
  2. Step 2: Convert to fraction form
    870,720,195/1,894,488,774 = 1,894,488,774/x
  3. Step 3: Cross multiply
    870,720,195x = 1,894,488,774 × 1,894,488,774
  4. Step 4: Simplify right side
    870,720,195x = 3,589,087,714,812,023,296
  5. Step 5: Solve for x
    x = 3,589,087,714,812,023,296/870,720,195
  6. Step 6: Final answer
    x = 4,121,975,963.60

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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.