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Finding the Third Proportional to 7,655,006,414 and 12,008,435,425

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Solution

The third proportional to 7,655,006,414 and 12,008,435,425 is: 18,837,674,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655,006,414 : 12,008,435,425 = 12,008,435,425 : x
  2. Step 2: Convert to fraction form
    7,655,006,414/12,008,435,425 = 12,008,435,425/x
  3. Step 3: Cross multiply
    7,655,006,414x = 12,008,435,425 × 12,008,435,425
  4. Step 4: Simplify right side
    7,655,006,414x = 144,202,521,356,394,938,368
  5. Step 5: Solve for x
    x = 144,202,521,356,394,938,368/7,655,006,414
  6. Step 6: Final answer
    x = 18,837,674,791.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.