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Finding the Third Proportional to 346,659,550 and 472,149,792

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Solution

The third proportional to 346,659,550 and 472,149,792 is: 643,067,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,659,550 : 472,149,792 = 472,149,792 : x
  2. Step 2: Convert to fraction form
    346,659,550/472,149,792 = 472,149,792/x
  3. Step 3: Cross multiply
    346,659,550x = 472,149,792 × 472,149,792
  4. Step 4: Simplify right side
    346,659,550x = 222,925,426,085,643,264
  5. Step 5: Solve for x
    x = 222,925,426,085,643,264/346,659,550
  6. Step 6: Final answer
    x = 643,067,315.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.