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Finding the Third Proportional to 523,013,292 and 1,137,959,226

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Solution

The third proportional to 523,013,292 and 1,137,959,226 is: 2,475,943,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,013,292 : 1,137,959,226 = 1,137,959,226 : x
  2. Step 2: Convert to fraction form
    523,013,292/1,137,959,226 = 1,137,959,226/x
  3. Step 3: Cross multiply
    523,013,292x = 1,137,959,226 × 1,137,959,226
  4. Step 4: Simplify right side
    523,013,292x = 1,294,951,200,038,519,040
  5. Step 5: Solve for x
    x = 1,294,951,200,038,519,040/523,013,292
  6. Step 6: Final answer
    x = 2,475,943,192.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.