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Finding the Third Proportional to 346,743,086.34 and 523,053,957.52

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Solution

The third proportional to 346,743,086.34 and 523,053,957.52 is: 789,014,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,743,086.34 : 523,053,957.52 = 523,053,957.52 : x
  2. Step 2: Convert to fraction form
    346,743,086.34/523,053,957.52 = 523,053,957.52/x
  3. Step 3: Cross multiply
    346,743,086.34x = 523,053,957.52 × 523,053,957.52
  4. Step 4: Simplify right side
    346,743,086.34x = 273,585,442,472,772,960
  5. Step 5: Solve for x
    x = 273,585,442,472,772,960/346,743,086.34
  6. Step 6: Final answer
    x = 789,014,844.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.