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Finding the Third Proportional to 6,245,445.50 and 9,316,363.50

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Solution

The third proportional to 6,245,445.50 and 9,316,363.50 is: 13,897,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245,445.50 : 9,316,363.50 = 9,316,363.50 : x
  2. Step 2: Convert to fraction form
    6,245,445.50/9,316,363.50 = 9,316,363.50/x
  3. Step 3: Cross multiply
    6,245,445.50x = 9,316,363.50 × 9,316,363.50
  4. Step 4: Simplify right side
    6,245,445.50x = 86,794,628,864,132.25
  5. Step 5: Solve for x
    x = 86,794,628,864,132.25/6,245,445.50
  6. Step 6: Final answer
    x = 13,897,267.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.