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Finding the Third Proportional to 4,180,314.75 and 6,460,702.88

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Solution

The third proportional to 4,180,314.75 and 6,460,702.88 is: 9,985,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180,314.75 : 6,460,702.88 = 6,460,702.88 : x
  2. Step 2: Convert to fraction form
    4,180,314.75/6,460,702.88 = 6,460,702.88/x
  3. Step 3: Cross multiply
    4,180,314.75x = 6,460,702.88 × 6,460,702.88
  4. Step 4: Simplify right side
    4,180,314.75x = 41,740,681,639,033.27
  5. Step 5: Solve for x
    x = 41,740,681,639,033.27/4,180,314.75
  6. Step 6: Final answer
    x = 9,985,057.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.