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Finding the Third Proportional to 545,498,148 and 831,866,627.25

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Solution

The third proportional to 545,498,148 and 831,866,627.25 is: 1,268,569,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,498,148 : 831,866,627.25 = 831,866,627.25 : x
  2. Step 2: Convert to fraction form
    545,498,148/831,866,627.25 = 831,866,627.25/x
  3. Step 3: Cross multiply
    545,498,148x = 831,866,627.25 × 831,866,627.25
  4. Step 4: Simplify right side
    545,498,148x = 692,002,085,532,290,432
  5. Step 5: Solve for x
    x = 692,002,085,532,290,432/545,498,148
  6. Step 6: Final answer
    x = 1,268,569,083.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.