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Finding the Third Proportional to 2,998,451.81 and 6,475,657.50

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Solution

The third proportional to 2,998,451.81 and 6,475,657.50 is: 13,985,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,451.81 : 6,475,657.50 = 6,475,657.50 : x
  2. Step 2: Convert to fraction form
    2,998,451.81/6,475,657.50 = 6,475,657.50/x
  3. Step 3: Cross multiply
    2,998,451.81x = 6,475,657.50 × 6,475,657.50
  4. Step 4: Simplify right side
    2,998,451.81x = 41,934,140,057,306.25
  5. Step 5: Solve for x
    x = 41,934,140,057,306.25/2,998,451.81
  6. Step 6: Final answer
    x = 13,985,263.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.