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Finding the Third Proportional to 64,752,505,708.22 and 144,393,710,931.56

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Solution

The third proportional to 64,752,505,708.22 and 144,393,710,931.56 is: 321,988,215,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,752,505,708.22 : 144,393,710,931.56 = 144,393,710,931.56 : x
  2. Step 2: Convert to fraction form
    64,752,505,708.22/144,393,710,931.56 = 144,393,710,931.56/x
  3. Step 3: Cross multiply
    64,752,505,708.22x = 144,393,710,931.56 × 144,393,710,931.56
  4. Step 4: Simplify right side
    64,752,505,708.22x = 20,849,543,756,586,911,006,720
  5. Step 5: Solve for x
    x = 20,849,543,756,586,911,006,720/64,752,505,708.22
  6. Step 6: Final answer
    x = 321,988,215,414.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.