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Finding the Third Proportional to 47,977,397 and 68,377,470

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Solution

The third proportional to 47,977,397 and 68,377,470 is: 97,451,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,977,397 : 68,377,470 = 68,377,470 : x
  2. Step 2: Convert to fraction form
    47,977,397/68,377,470 = 68,377,470/x
  3. Step 3: Cross multiply
    47,977,397x = 68,377,470 × 68,377,470
  4. Step 4: Simplify right side
    47,977,397x = 4,675,478,403,600,900
  5. Step 5: Solve for x
    x = 4,675,478,403,600,900/47,977,397
  6. Step 6: Final answer
    x = 97,451,689.67

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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.