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Finding the Third Proportional to 2,488,248,506 and 5,345,761,108

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Solution

The third proportional to 2,488,248,506 and 5,345,761,108 is: 11,484,850,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488,248,506 : 5,345,761,108 = 5,345,761,108 : x
  2. Step 2: Convert to fraction form
    2,488,248,506/5,345,761,108 = 5,345,761,108/x
  3. Step 3: Cross multiply
    2,488,248,506x = 5,345,761,108 × 5,345,761,108
  4. Step 4: Simplify right side
    2,488,248,506x = 28,577,161,823,805,386,752
  5. Step 5: Solve for x
    x = 28,577,161,823,805,386,752/2,488,248,506
  6. Step 6: Final answer
    x = 11,484,850,389.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.