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Finding the Third Proportional to 2,499,217,490 and 5,205,293,684

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Solution

The third proportional to 2,499,217,490 and 5,205,293,684 is: 10,841,426,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499,217,490 : 5,205,293,684 = 5,205,293,684 : x
  2. Step 2: Convert to fraction form
    2,499,217,490/5,205,293,684 = 5,205,293,684/x
  3. Step 3: Cross multiply
    2,499,217,490x = 5,205,293,684 × 5,205,293,684
  4. Step 4: Simplify right side
    2,499,217,490x = 27,095,082,336,690,290,688
  5. Step 5: Solve for x
    x = 27,095,082,336,690,290,688/2,499,217,490
  6. Step 6: Final answer
    x = 10,841,426,344.49

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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.