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Finding the Third Proportional to 3,085,369,806 and 4,700,242,115

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Solution

The third proportional to 3,085,369,806 and 4,700,242,115 is: 7,160,333,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,369,806 : 4,700,242,115 = 4,700,242,115 : x
  2. Step 2: Convert to fraction form
    3,085,369,806/4,700,242,115 = 4,700,242,115/x
  3. Step 3: Cross multiply
    3,085,369,806x = 4,700,242,115 × 4,700,242,115
  4. Step 4: Simplify right side
    3,085,369,806x = 22,092,275,939,619,672,064
  5. Step 5: Solve for x
    x = 22,092,275,939,619,672,064/3,085,369,806
  6. Step 6: Final answer
    x = 7,160,333,227.04

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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.