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Finding the Third Proportional to 870,812,874 and 1,880,155,188

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Solution

The third proportional to 870,812,874 and 1,880,155,188 is: 4,059,406,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,812,874 : 1,880,155,188 = 1,880,155,188 : x
  2. Step 2: Convert to fraction form
    870,812,874/1,880,155,188 = 1,880,155,188/x
  3. Step 3: Cross multiply
    870,812,874x = 1,880,155,188 × 1,880,155,188
  4. Step 4: Simplify right side
    870,812,874x = 3,534,983,530,963,315,200
  5. Step 5: Solve for x
    x = 3,534,983,530,963,315,200/870,812,874
  6. Step 6: Final answer
    x = 4,059,406,603.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.