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Finding the Third Proportional to 27,418,641,738 and 59,704,900,428

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Solution

The third proportional to 27,418,641,738 and 59,704,900,428 is: 130,009,180,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418,641,738 : 59,704,900,428 = 59,704,900,428 : x
  2. Step 2: Convert to fraction form
    27,418,641,738/59,704,900,428 = 59,704,900,428/x
  3. Step 3: Cross multiply
    27,418,641,738x = 59,704,900,428 × 59,704,900,428
  4. Step 4: Simplify right side
    27,418,641,738x = 3,564,675,135,117,394,444,288
  5. Step 5: Solve for x
    x = 3,564,675,135,117,394,444,288/27,418,641,738
  6. Step 6: Final answer
    x = 130,009,180,220.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.