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Finding the Third Proportional to 625,576,890 and 1,348,034,316

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Solution

The third proportional to 625,576,890 and 1,348,034,316 is: 2,904,833,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,576,890 : 1,348,034,316 = 1,348,034,316 : x
  2. Step 2: Convert to fraction form
    625,576,890/1,348,034,316 = 1,348,034,316/x
  3. Step 3: Cross multiply
    625,576,890x = 1,348,034,316 × 1,348,034,316
  4. Step 4: Simplify right side
    625,576,890x = 1,817,196,517,113,587,968
  5. Step 5: Solve for x
    x = 1,817,196,517,113,587,968/625,576,890
  6. Step 6: Final answer
    x = 2,904,833,196.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.