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Finding the Third Proportional to 47,145,996 and 70,428,636

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Solution

The third proportional to 47,145,996 and 70,428,636 is: 105,209,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145,996 : 70,428,636 = 70,428,636 : x
  2. Step 2: Convert to fraction form
    47,145,996/70,428,636 = 70,428,636/x
  3. Step 3: Cross multiply
    47,145,996x = 70,428,636 × 70,428,636
  4. Step 4: Simplify right side
    47,145,996x = 4,960,192,768,820,496
  5. Step 5: Solve for x
    x = 4,960,192,768,820,496/47,145,996
  6. Step 6: Final answer
    x = 105,209,205.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.