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Finding the Third Proportional to 1,368,002,376 and 2,870,374,032

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Solution

The third proportional to 1,368,002,376 and 2,870,374,032 is: 6,022,684,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,002,376 : 2,870,374,032 = 2,870,374,032 : x
  2. Step 2: Convert to fraction form
    1,368,002,376/2,870,374,032 = 2,870,374,032/x
  3. Step 3: Cross multiply
    1,368,002,376x = 2,870,374,032 × 2,870,374,032
  4. Step 4: Simplify right side
    1,368,002,376x = 8,239,047,083,579,936,768
  5. Step 5: Solve for x
    x = 8,239,047,083,579,936,768/1,368,002,376
  6. Step 6: Final answer
    x = 6,022,684,776.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.