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Finding the Third Proportional to 70,746,048 and 112,496,461

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Solution

The third proportional to 70,746,048 and 112,496,461 is: 178,885,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,746,048 : 112,496,461 = 112,496,461 : x
  2. Step 2: Convert to fraction form
    70,746,048/112,496,461 = 112,496,461/x
  3. Step 3: Cross multiply
    70,746,048x = 112,496,461 × 112,496,461
  4. Step 4: Simplify right side
    70,746,048x = 12,655,453,737,524,520
  5. Step 5: Solve for x
    x = 12,655,453,737,524,520/70,746,048
  6. Step 6: Final answer
    x = 178,885,663.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.