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Finding the Third Proportional to 2,415,397.50 and 5,209,107.75

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Solution

The third proportional to 2,415,397.50 and 5,209,107.75 is: 11,234,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415,397.50 : 5,209,107.75 = 5,209,107.75 : x
  2. Step 2: Convert to fraction form
    2,415,397.50/5,209,107.75 = 5,209,107.75/x
  3. Step 3: Cross multiply
    2,415,397.50x = 5,209,107.75 × 5,209,107.75
  4. Step 4: Simplify right side
    2,415,397.50x = 27,134,803,551,110.06
  5. Step 5: Solve for x
    x = 27,134,803,551,110.06/2,415,397.50
  6. Step 6: Final answer
    x = 11,234,094.41

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