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Finding the Third Proportional to 4,966,734,582 and 10,815,267,564

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Solution

The third proportional to 4,966,734,582 and 10,815,267,564 is: 23,550,687,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966,734,582 : 10,815,267,564 = 10,815,267,564 : x
  2. Step 2: Convert to fraction form
    4,966,734,582/10,815,267,564 = 10,815,267,564/x
  3. Step 3: Cross multiply
    4,966,734,582x = 10,815,267,564 × 10,815,267,564
  4. Step 4: Simplify right side
    4,966,734,582x = 116,970,012,480,910,491,648
  5. Step 5: Solve for x
    x = 116,970,012,480,910,491,648/4,966,734,582
  6. Step 6: Final answer
    x = 23,550,687,186.87

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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.