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Finding the Third Proportional to 4,180,314.13 and 6,460,702.13

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Solution

The third proportional to 4,180,314.13 and 6,460,702.13 is: 9,985,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180,314.13 : 6,460,702.13 = 6,460,702.13 : x
  2. Step 2: Convert to fraction form
    4,180,314.13/6,460,702.13 = 6,460,702.13/x
  3. Step 3: Cross multiply
    4,180,314.13x = 6,460,702.13 × 6,460,702.13
  4. Step 4: Simplify right side
    4,180,314.13x = 41,740,671,947,979.52
  5. Step 5: Solve for x
    x = 41,740,671,947,979.52/4,180,314.13
  6. Step 6: Final answer
    x = 9,985,056.31

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