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Finding the Third Proportional to 5,148,648 and 6,992,437.50

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Solution

The third proportional to 5,148,648 and 6,992,437.50 is: 9,496,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148,648 : 6,992,437.50 = 6,992,437.50 : x
  2. Step 2: Convert to fraction form
    5,148,648/6,992,437.50 = 6,992,437.50/x
  3. Step 3: Cross multiply
    5,148,648x = 6,992,437.50 × 6,992,437.50
  4. Step 4: Simplify right side
    5,148,648x = 48,894,182,191,406.25
  5. Step 5: Solve for x
    x = 48,894,182,191,406.25/5,148,648
  6. Step 6: Final answer
    x = 9,496,509.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.