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Finding the Third Proportional to 316,398,976 and 693,122,216

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Solution

The third proportional to 316,398,976 and 693,122,216 is: 1,518,394,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,398,976 : 693,122,216 = 693,122,216 : x
  2. Step 2: Convert to fraction form
    316,398,976/693,122,216 = 693,122,216/x
  3. Step 3: Cross multiply
    316,398,976x = 693,122,216 × 693,122,216
  4. Step 4: Simplify right side
    316,398,976x = 480,418,406,312,750,656
  5. Step 5: Solve for x
    x = 480,418,406,312,750,656/316,398,976
  6. Step 6: Final answer
    x = 1,518,394,314.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.