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Finding the Third Proportional to 47,921,050 and 68,527,659

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Solution

The third proportional to 47,921,050 and 68,527,659 is: 97,995,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,921,050 : 68,527,659 = 68,527,659 : x
  2. Step 2: Convert to fraction form
    47,921,050/68,527,659 = 68,527,659/x
  3. Step 3: Cross multiply
    47,921,050x = 68,527,659 × 68,527,659
  4. Step 4: Simplify right side
    47,921,050x = 4,696,040,048,020,281
  5. Step 5: Solve for x
    x = 4,696,040,048,020,281/47,921,050
  6. Step 6: Final answer
    x = 97,995,349.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.