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Finding the Third Proportional to 3,664,116 and 5,386,702.50

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Solution

The third proportional to 3,664,116 and 5,386,702.50 is: 7,919,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664,116 : 5,386,702.50 = 5,386,702.50 : x
  2. Step 2: Convert to fraction form
    3,664,116/5,386,702.50 = 5,386,702.50/x
  3. Step 3: Cross multiply
    3,664,116x = 5,386,702.50 × 5,386,702.50
  4. Step 4: Simplify right side
    3,664,116x = 29,016,563,823,506.25
  5. Step 5: Solve for x
    x = 29,016,563,823,506.25/3,664,116
  6. Step 6: Final answer
    x = 7,919,117.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.