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Finding the Third Proportional to 6,705,358.55 and 14,482,671.74

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Solution

The third proportional to 6,705,358.55 and 14,482,671.74 is: 31,280,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705,358.55 : 14,482,671.74 = 14,482,671.74 : x
  2. Step 2: Convert to fraction form
    6,705,358.55/14,482,671.74 = 14,482,671.74/x
  3. Step 3: Cross multiply
    6,705,358.55x = 14,482,671.74 × 14,482,671.74
  4. Step 4: Simplify right side
    6,705,358.55x = 209,747,780,636,397.94
  5. Step 5: Solve for x
    x = 209,747,780,636,397.94/6,705,358.55
  6. Step 6: Final answer
    x = 31,280,621.16

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Why These Related Problems?

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