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Finding the Third Proportional to 47,145,890 and 70,428,480

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Solution

The third proportional to 47,145,890 and 70,428,480 is: 105,208,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145,890 : 70,428,480 = 70,428,480 : x
  2. Step 2: Convert to fraction form
    47,145,890/70,428,480 = 70,428,480/x
  3. Step 3: Cross multiply
    47,145,890x = 70,428,480 × 70,428,480
  4. Step 4: Simplify right side
    47,145,890x = 4,960,170,795,110,400
  5. Step 5: Solve for x
    x = 4,960,170,795,110,400/47,145,890
  6. Step 6: Final answer
    x = 105,208,975.69

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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.