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Finding the Third Proportional to 7,014,707,431 and 15,264,285,710

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Solution

The third proportional to 7,014,707,431 and 15,264,285,710 is: 33,215,700,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014,707,431 : 15,264,285,710 = 15,264,285,710 : x
  2. Step 2: Convert to fraction form
    7,014,707,431/15,264,285,710 = 15,264,285,710/x
  3. Step 3: Cross multiply
    7,014,707,431x = 15,264,285,710 × 15,264,285,710
  4. Step 4: Simplify right side
    7,014,707,431x = 232,998,418,236,510,208,000
  5. Step 5: Solve for x
    x = 232,998,418,236,510,208,000/7,014,707,431
  6. Step 6: Final answer
    x = 33,215,700,088.48

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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.