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Finding the Third Proportional to 821,427,506 and 1,937,136,984

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Solution

The third proportional to 821,427,506 and 1,937,136,984 is: 4,568,266,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,427,506 : 1,937,136,984 = 1,937,136,984 : x
  2. Step 2: Convert to fraction form
    821,427,506/1,937,136,984 = 1,937,136,984/x
  3. Step 3: Cross multiply
    821,427,506x = 1,937,136,984 × 1,937,136,984
  4. Step 4: Simplify right side
    821,427,506x = 3,752,499,694,780,616,192
  5. Step 5: Solve for x
    x = 3,752,499,694,780,616,192/821,427,506
  6. Step 6: Final answer
    x = 4,568,266,423.23

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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.