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Finding the Third Proportional to 1,368,521,160 and 2,120,018,977.88

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Solution

The third proportional to 1,368,521,160 and 2,120,018,977.88 is: 3,284,187,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,521,160 : 2,120,018,977.88 = 2,120,018,977.88 : x
  2. Step 2: Convert to fraction form
    1,368,521,160/2,120,018,977.88 = 2,120,018,977.88/x
  3. Step 3: Cross multiply
    1,368,521,160x = 2,120,018,977.88 × 2,120,018,977.88
  4. Step 4: Simplify right side
    1,368,521,160x = 4,494,480,466,550,159,872
  5. Step 5: Solve for x
    x = 4,494,480,466,550,159,872/1,368,521,160
  6. Step 6: Final answer
    x = 3,284,187,777.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.