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Finding the Third Proportional to 588,368,736 and 948,018,768

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Solution

The third proportional to 588,368,736 and 948,018,768 is: 1,527,510,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,368,736 : 948,018,768 = 948,018,768 : x
  2. Step 2: Convert to fraction form
    588,368,736/948,018,768 = 948,018,768/x
  3. Step 3: Cross multiply
    588,368,736x = 948,018,768 × 948,018,768
  4. Step 4: Simplify right side
    588,368,736x = 898,739,584,480,237,824
  5. Step 5: Solve for x
    x = 898,739,584,480,237,824/588,368,736
  6. Step 6: Final answer
    x = 1,527,510,775.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.