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Finding the Third Proportional to 595,700,469 and 1,298,660,536.13

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Solution

The third proportional to 595,700,469 and 1,298,660,536.13 is: 2,831,153,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,700,469 : 1,298,660,536.13 = 1,298,660,536.13 : x
  2. Step 2: Convert to fraction form
    595,700,469/1,298,660,536.13 = 1,298,660,536.13/x
  3. Step 3: Cross multiply
    595,700,469x = 1,298,660,536.13 × 1,298,660,536.13
  4. Step 4: Simplify right side
    595,700,469x = 1,686,519,188,088,472,320
  5. Step 5: Solve for x
    x = 1,686,519,188,088,472,320/595,700,469
  6. Step 6: Final answer
    x = 2,831,153,030.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.