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Finding the Third Proportional to 7,587,522 and 11,381,454

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Solution

The third proportional to 7,587,522 and 11,381,454 is: 17,072,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587,522 : 11,381,454 = 11,381,454 : x
  2. Step 2: Convert to fraction form
    7,587,522/11,381,454 = 11,381,454/x
  3. Step 3: Cross multiply
    7,587,522x = 11,381,454 × 11,381,454
  4. Step 4: Simplify right side
    7,587,522x = 129,537,495,154,116
  5. Step 5: Solve for x
    x = 129,537,495,154,116/7,587,522
  6. Step 6: Final answer
    x = 17,072,437.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.