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Finding the Third Proportional to 13,961,768,146 and 19,591,124,574

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Solution

The third proportional to 13,961,768,146 and 19,591,124,574 is: 27,490,226,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961,768,146 : 19,591,124,574 = 19,591,124,574 : x
  2. Step 2: Convert to fraction form
    13,961,768,146/19,591,124,574 = 19,591,124,574/x
  3. Step 3: Cross multiply
    13,961,768,146x = 19,591,124,574 × 19,591,124,574
  4. Step 4: Simplify right side
    13,961,768,146x = 383,812,162,073,986,662,400
  5. Step 5: Solve for x
    x = 383,812,162,073,986,662,400/13,961,768,146
  6. Step 6: Final answer
    x = 27,490,226,027.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.