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Finding the Third Proportional to 5,792,213.81 and 7,866,547.88

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Solution

The third proportional to 5,792,213.81 and 7,866,547.88 is: 10,683,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792,213.81 : 7,866,547.88 = 7,866,547.88 : x
  2. Step 2: Convert to fraction form
    5,792,213.81/7,866,547.88 = 7,866,547.88/x
  3. Step 3: Cross multiply
    5,792,213.81x = 7,866,547.88 × 7,866,547.88
  4. Step 4: Simplify right side
    5,792,213.81x = 61,882,575,469,667.02
  5. Step 5: Solve for x
    x = 61,882,575,469,667.02/5,792,213.81
  6. Step 6: Final answer
    x = 10,683,751.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.