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Finding the Third Proportional to 914,183,648 and 1,392,664,332

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Solution

The third proportional to 914,183,648 and 1,392,664,332 is: 2,121,580,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,183,648 : 1,392,664,332 = 1,392,664,332 : x
  2. Step 2: Convert to fraction form
    914,183,648/1,392,664,332 = 1,392,664,332/x
  3. Step 3: Cross multiply
    914,183,648x = 1,392,664,332 × 1,392,664,332
  4. Step 4: Simplify right side
    914,183,648x = 1,939,513,941,625,006,336
  5. Step 5: Solve for x
    x = 1,939,513,941,625,006,336/914,183,648
  6. Step 6: Final answer
    x = 2,121,580,216.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.