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Finding the Third Proportional to 301,608,832,772 and 449,797,732,587

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Solution

The third proportional to 301,608,832,772 and 449,797,732,587 is: 670,796,005,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,608,832,772 : 449,797,732,587 = 449,797,732,587 : x
  2. Step 2: Convert to fraction form
    301,608,832,772/449,797,732,587 = 449,797,732,587/x
  3. Step 3: Cross multiply
    301,608,832,772x = 449,797,732,587 × 449,797,732,587
  4. Step 4: Simplify right side
    301,608,832,772x = 202,318,000,240,406,357,344,256
  5. Step 5: Solve for x
    x = 202,318,000,240,406,357,344,256/301,608,832,772
  6. Step 6: Final answer
    x = 670,796,005,478.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.