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Finding the Third Proportional to 7,014,707,428 and 15,264,285,704

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Solution

The third proportional to 7,014,707,428 and 15,264,285,704 is: 33,215,700,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014,707,428 : 15,264,285,704 = 15,264,285,704 : x
  2. Step 2: Convert to fraction form
    7,014,707,428/15,264,285,704 = 15,264,285,704/x
  3. Step 3: Cross multiply
    7,014,707,428x = 15,264,285,704 × 15,264,285,704
  4. Step 4: Simplify right side
    7,014,707,428x = 232,998,418,053,338,791,936
  5. Step 5: Solve for x
    x = 232,998,418,053,338,791,936/7,014,707,428
  6. Step 6: Final answer
    x = 33,215,700,076.57

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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.