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Finding the Third Proportional to 863,676,719 and 1,864,974,382

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Solution

The third proportional to 863,676,719 and 1,864,974,382 is: 4,027,119,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,676,719 : 1,864,974,382 = 1,864,974,382 : x
  2. Step 2: Convert to fraction form
    863,676,719/1,864,974,382 = 1,864,974,382/x
  3. Step 3: Cross multiply
    863,676,719x = 1,864,974,382 × 1,864,974,382
  4. Step 4: Simplify right side
    863,676,719x = 3,478,129,445,516,281,856
  5. Step 5: Solve for x
    x = 3,478,129,445,516,281,856/863,676,719
  6. Step 6: Final answer
    x = 4,027,119,602.74

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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.