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Finding the Third Proportional to 47,916,394.50 and 78,234,874.50

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Solution

The third proportional to 47,916,394.50 and 78,234,874.50 is: 127,736,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,916,394.50 : 78,234,874.50 = 78,234,874.50 : x
  2. Step 2: Convert to fraction form
    47,916,394.50/78,234,874.50 = 78,234,874.50/x
  3. Step 3: Cross multiply
    47,916,394.50x = 78,234,874.50 × 78,234,874.50
  4. Step 4: Simplify right side
    47,916,394.50x = 6,120,695,588,030,750
  5. Step 5: Solve for x
    x = 6,120,695,588,030,750/47,916,394.50
  6. Step 6: Final answer
    x = 127,736,981.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.