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Finding the Third Proportional to 3,565,280.81 and 7,684,966.13

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Solution

The third proportional to 3,565,280.81 and 7,684,966.13 is: 16,564,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565,280.81 : 7,684,966.13 = 7,684,966.13 : x
  2. Step 2: Convert to fraction form
    3,565,280.81/7,684,966.13 = 7,684,966.13/x
  3. Step 3: Cross multiply
    3,565,280.81x = 7,684,966.13 × 7,684,966.13
  4. Step 4: Simplify right side
    3,565,280.81x = 59,058,704,342,397.52
  5. Step 5: Solve for x
    x = 59,058,704,342,397.52/3,565,280.81
  6. Step 6: Final answer
    x = 16,564,951.67

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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.