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Finding the Third Proportional to 2,499,217,698 and 5,205,294,166

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Solution

The third proportional to 2,499,217,698 and 5,205,294,166 is: 10,841,427,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499,217,698 : 5,205,294,166 = 5,205,294,166 : x
  2. Step 2: Convert to fraction form
    2,499,217,698/5,205,294,166 = 5,205,294,166/x
  3. Step 3: Cross multiply
    2,499,217,698x = 5,205,294,166 × 5,205,294,166
  4. Step 4: Simplify right side
    2,499,217,698x = 27,095,087,354,593,636,352
  5. Step 5: Solve for x
    x = 27,095,087,354,593,636,352/2,499,217,698
  6. Step 6: Final answer
    x = 10,841,427,449.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.