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Finding the Third Proportional to 663,710,190 and 956,096,901

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Solution

The third proportional to 663,710,190 and 956,096,901 is: 1,377,289,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,710,190 : 956,096,901 = 956,096,901 : x
  2. Step 2: Convert to fraction form
    663,710,190/956,096,901 = 956,096,901/x
  3. Step 3: Cross multiply
    663,710,190x = 956,096,901 × 956,096,901
  4. Step 4: Simplify right side
    663,710,190x = 914,121,284,101,803,776
  5. Step 5: Solve for x
    x = 914,121,284,101,803,776/663,710,190
  6. Step 6: Final answer
    x = 1,377,289,813.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.