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Finding the Third Proportional to 1,822,672,246 and 3,976,516,718

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Solution

The third proportional to 1,822,672,246 and 3,976,516,718 is: 8,675,550,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,672,246 : 3,976,516,718 = 3,976,516,718 : x
  2. Step 2: Convert to fraction form
    1,822,672,246/3,976,516,718 = 3,976,516,718/x
  3. Step 3: Cross multiply
    1,822,672,246x = 3,976,516,718 × 3,976,516,718
  4. Step 4: Simplify right side
    1,822,672,246x = 15,812,685,208,533,491,712
  5. Step 5: Solve for x
    x = 15,812,685,208,533,491,712/1,822,672,246
  6. Step 6: Final answer
    x = 8,675,550,551.25

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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.