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Finding the Third Proportional to 5,870,152.90 and 12,782,428.38

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Solution

The third proportional to 5,870,152.90 and 12,782,428.38 is: 27,834,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870,152.90 : 12,782,428.38 = 12,782,428.38 : x
  2. Step 2: Convert to fraction form
    5,870,152.90/12,782,428.38 = 12,782,428.38/x
  3. Step 3: Cross multiply
    5,870,152.90x = 12,782,428.38 × 12,782,428.38
  4. Step 4: Simplify right side
    5,870,152.90x = 163,390,475,361,717.81
  5. Step 5: Solve for x
    x = 163,390,475,361,717.81/5,870,152.90
  6. Step 6: Final answer
    x = 27,834,108.96

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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.