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Finding the Third Proportional to 870,721,216 and 1,894,490,624

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Solution

The third proportional to 870,721,216 and 1,894,490,624 is: 4,121,979,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,721,216 : 1,894,490,624 = 1,894,490,624 : x
  2. Step 2: Convert to fraction form
    870,721,216/1,894,490,624 = 1,894,490,624/x
  3. Step 3: Cross multiply
    870,721,216x = 1,894,490,624 × 1,894,490,624
  4. Step 4: Simplify right side
    870,721,216x = 3,589,094,724,423,909,376
  5. Step 5: Solve for x
    x = 3,589,094,724,423,909,376/870,721,216
  6. Step 6: Final answer
    x = 4,121,979,180.56

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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.