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Finding the Third Proportional to 4,046,175,238,416 and 8,737,240,637,754

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Solution

The third proportional to 4,046,175,238,416 and 8,737,240,637,754 is: 18,867,045,904,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046,175,238,416 : 8,737,240,637,754 = 8,737,240,637,754 : x
  2. Step 2: Convert to fraction form
    4,046,175,238,416/8,737,240,637,754 = 8,737,240,637,754/x
  3. Step 3: Cross multiply
    4,046,175,238,416x = 8,737,240,637,754 × 8,737,240,637,754
  4. Step 4: Simplify right side
    4,046,175,238,416x = 76,339,373,962,019,921,392,041,984
  5. Step 5: Solve for x
    x = 76,339,373,962,019,921,392,041,984/4,046,175,238,416
  6. Step 6: Final answer
    x = 18,867,045,904,790.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.