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Finding the Third Proportional to 9,590,496 and 14,625,117

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Solution

The third proportional to 9,590,496 and 14,625,117 is: 22,302,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590,496 : 14,625,117 = 14,625,117 : x
  2. Step 2: Convert to fraction form
    9,590,496/14,625,117 = 14,625,117/x
  3. Step 3: Cross multiply
    9,590,496x = 14,625,117 × 14,625,117
  4. Step 4: Simplify right side
    9,590,496x = 213,894,047,263,689
  5. Step 5: Solve for x
    x = 213,894,047,263,689/9,590,496
  6. Step 6: Final answer
    x = 22,302,709.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.