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Finding the Third Proportional to 388,418,979 and 832,240,621.50

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Solution

The third proportional to 388,418,979 and 832,240,621.50 is: 1,783,189,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,418,979 : 832,240,621.50 = 832,240,621.50 : x
  2. Step 2: Convert to fraction form
    388,418,979/832,240,621.50 = 832,240,621.50/x
  3. Step 3: Cross multiply
    388,418,979x = 832,240,621.50 × 832,240,621.50
  4. Step 4: Simplify right side
    388,418,979x = 692,624,452,074,706,304
  5. Step 5: Solve for x
    x = 692,624,452,074,706,304/388,418,979
  6. Step 6: Final answer
    x = 1,783,189,003.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.