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Finding the Third Proportional to 2,376,148.50 and 5,110,387.50

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Solution

The third proportional to 2,376,148.50 and 5,110,387.50 is: 10,990,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,148.50 : 5,110,387.50 = 5,110,387.50 : x
  2. Step 2: Convert to fraction form
    2,376,148.50/5,110,387.50 = 5,110,387.50/x
  3. Step 3: Cross multiply
    2,376,148.50x = 5,110,387.50 × 5,110,387.50
  4. Step 4: Simplify right side
    2,376,148.50x = 26,116,060,400,156.25
  5. Step 5: Solve for x
    x = 26,116,060,400,156.25/2,376,148.50
  6. Step 6: Final answer
    x = 10,990,920.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.