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Finding the Third Proportional to 708,470,380.41 and 1,537,366,890.66

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Solution

The third proportional to 708,470,380.41 and 1,537,366,890.66 is: 3,336,056,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,470,380.41 : 1,537,366,890.66 = 1,537,366,890.66 : x
  2. Step 2: Convert to fraction form
    708,470,380.41/1,537,366,890.66 = 1,537,366,890.66/x
  3. Step 3: Cross multiply
    708,470,380.41x = 1,537,366,890.66 × 1,537,366,890.66
  4. Step 4: Simplify right side
    708,470,380.41x = 2,363,496,956,485,912,064
  5. Step 5: Solve for x
    x = 2,363,496,956,485,912,064/708,470,380.41
  6. Step 6: Final answer
    x = 3,336,056,131.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.