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Finding the Third Proportional to 303,152,001 and 657,758,442

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Solution

The third proportional to 303,152,001 and 657,758,442 is: 1,427,159,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,152,001 : 657,758,442 = 657,758,442 : x
  2. Step 2: Convert to fraction form
    303,152,001/657,758,442 = 657,758,442/x
  3. Step 3: Cross multiply
    303,152,001x = 657,758,442 × 657,758,442
  4. Step 4: Simplify right side
    303,152,001x = 432,646,168,022,267,392
  5. Step 5: Solve for x
    x = 432,646,168,022,267,392/303,152,001
  6. Step 6: Final answer
    x = 1,427,159,202.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.