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Finding the Third Proportional to 663,167,942,803.12 and 1,018,707,091,403

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Solution

The third proportional to 663,167,942,803.12 and 1,018,707,091,403 is: 1,564,858,719,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,167,942,803.12 : 1,018,707,091,403 = 1,018,707,091,403 : x
  2. Step 2: Convert to fraction form
    663,167,942,803.12/1,018,707,091,403 = 1,018,707,091,403/x
  3. Step 3: Cross multiply
    663,167,942,803.12x = 1,018,707,091,403 × 1,018,707,091,403
  4. Step 4: Simplify right side
    663,167,942,803.12x = 1,037,764,138,074,760,221,294,592
  5. Step 5: Solve for x
    x = 1,037,764,138,074,760,221,294,592/663,167,942,803.12
  6. Step 6: Final answer
    x = 1,564,858,719,931.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.