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Finding the Third Proportional to 5,870,142 and 12,782,406

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Solution

The third proportional to 5,870,142 and 12,782,406 is: 27,834,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870,142 : 12,782,406 = 12,782,406 : x
  2. Step 2: Convert to fraction form
    5,870,142/12,782,406 = 12,782,406/x
  3. Step 3: Cross multiply
    5,870,142x = 12,782,406 × 12,782,406
  4. Step 4: Simplify right side
    5,870,142x = 163,389,903,148,836
  5. Step 5: Solve for x
    x = 163,389,903,148,836/5,870,142
  6. Step 6: Final answer
    x = 27,834,063.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.