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Finding the Third Proportional to 35,746,413 and 76,372,668

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Solution

The third proportional to 35,746,413 and 76,372,668 is: 163,171,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,746,413 : 76,372,668 = 76,372,668 : x
  2. Step 2: Convert to fraction form
    35,746,413/76,372,668 = 76,372,668/x
  3. Step 3: Cross multiply
    35,746,413x = 76,372,668 × 76,372,668
  4. Step 4: Simplify right side
    35,746,413x = 5,832,784,417,438,224
  5. Step 5: Solve for x
    x = 5,832,784,417,438,224/35,746,413
  6. Step 6: Final answer
    x = 163,171,180.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.