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Finding the Third Proportional to 2,345,804,001 and 3,442,017,870

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Solution

The third proportional to 2,345,804,001 and 3,442,017,870 is: 5,050,501,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345,804,001 : 3,442,017,870 = 3,442,017,870 : x
  2. Step 2: Convert to fraction form
    2,345,804,001/3,442,017,870 = 3,442,017,870/x
  3. Step 3: Cross multiply
    2,345,804,001x = 3,442,017,870 × 3,442,017,870
  4. Step 4: Simplify right side
    2,345,804,001x = 11,847,487,017,399,336,960
  5. Step 5: Solve for x
    x = 11,847,487,017,399,336,960/2,345,804,001
  6. Step 6: Final answer
    x = 5,050,501,666.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.