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Finding the Third Proportional to 821,427,501.38 and 1,937,136,974.06

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Solution

The third proportional to 821,427,501.38 and 1,937,136,974.06 is: 4,568,266,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,427,501.38 : 1,937,136,974.06 = 1,937,136,974.06 : x
  2. Step 2: Convert to fraction form
    821,427,501.38/1,937,136,974.06 = 1,937,136,974.06/x
  3. Step 3: Cross multiply
    821,427,501.38x = 1,937,136,974.06 × 1,937,136,974.06
  4. Step 4: Simplify right side
    821,427,501.38x = 3,752,499,656,280,018,944
  5. Step 5: Solve for x
    x = 3,752,499,656,280,018,944/821,427,501.38
  6. Step 6: Final answer
    x = 4,568,266,402.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.