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Finding the Third Proportional to 5,325,547.50 and 8,652,264.75

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Solution

The third proportional to 5,325,547.50 and 8,652,264.75 is: 14,057,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325,547.50 : 8,652,264.75 = 8,652,264.75 : x
  2. Step 2: Convert to fraction form
    5,325,547.50/8,652,264.75 = 8,652,264.75/x
  3. Step 3: Cross multiply
    5,325,547.50x = 8,652,264.75 × 8,652,264.75
  4. Step 4: Simplify right side
    5,325,547.50x = 74,861,685,304,092.56
  5. Step 5: Solve for x
    x = 74,861,685,304,092.56/5,325,547.50
  6. Step 6: Final answer
    x = 14,057,087.15

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.