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Finding the Third Proportional to 9,731,569 and 13,688,671

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Solution

The third proportional to 9,731,569 and 13,688,671 is: 19,254,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731,569 : 13,688,671 = 13,688,671 : x
  2. Step 2: Convert to fraction form
    9,731,569/13,688,671 = 13,688,671/x
  3. Step 3: Cross multiply
    9,731,569x = 13,688,671 × 13,688,671
  4. Step 4: Simplify right side
    9,731,569x = 187,379,713,746,241
  5. Step 5: Solve for x
    x = 187,379,713,746,241/9,731,569
  6. Step 6: Final answer
    x = 19,254,830.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.