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Finding the Third Proportional to 545,498,145 and 831,866,622.75

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Solution

The third proportional to 545,498,145 and 831,866,622.75 is: 1,268,569,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,498,145 : 831,866,622.75 = 831,866,622.75 : x
  2. Step 2: Convert to fraction form
    545,498,145/831,866,622.75 = 831,866,622.75/x
  3. Step 3: Cross multiply
    545,498,145x = 831,866,622.75 × 831,866,622.75
  4. Step 4: Simplify right side
    545,498,145x = 692,002,078,045,490,816
  5. Step 5: Solve for x
    x = 692,002,078,045,490,816/545,498,145
  6. Step 6: Final answer
    x = 1,268,569,076.52

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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.