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Finding the Third Proportional to 5,792,173.31 and 7,866,492.19

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Solution

The third proportional to 5,792,173.31 and 7,866,492.19 is: 10,683,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792,173.31 : 7,866,492.19 = 7,866,492.19 : x
  2. Step 2: Convert to fraction form
    5,792,173.31/7,866,492.19 = 7,866,492.19/x
  3. Step 3: Cross multiply
    5,792,173.31x = 7,866,492.19 × 7,866,492.19
  4. Step 4: Simplify right side
    5,792,173.31x = 61,881,699,335,998.53
  5. Step 5: Solve for x
    x = 61,881,699,335,998.53/5,792,173.31
  6. Step 6: Final answer
    x = 10,683,675.37

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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.