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Finding the Third Proportional to 524,732,280 and 1,148,313,072.50

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Solution

The third proportional to 524,732,280 and 1,148,313,072.50 is: 2,512,944,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,732,280 : 1,148,313,072.50 = 1,148,313,072.50 : x
  2. Step 2: Convert to fraction form
    524,732,280/1,148,313,072.50 = 1,148,313,072.50/x
  3. Step 3: Cross multiply
    524,732,280x = 1,148,313,072.50 × 1,148,313,072.50
  4. Step 4: Simplify right side
    524,732,280x = 1,318,622,912,474,390,272
  5. Step 5: Solve for x
    x = 1,318,622,912,474,390,272/524,732,280
  6. Step 6: Final answer
    x = 2,512,944,148.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.