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Finding the Third Proportional to 6,178,083.50 and 12,867,490

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Solution

The third proportional to 6,178,083.50 and 12,867,490 is: 26,799,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,083.50 : 12,867,490 = 12,867,490 : x
  2. Step 2: Convert to fraction form
    6,178,083.50/12,867,490 = 12,867,490/x
  3. Step 3: Cross multiply
    6,178,083.50x = 12,867,490 × 12,867,490
  4. Step 4: Simplify right side
    6,178,083.50x = 165,572,298,900,100
  5. Step 5: Solve for x
    x = 165,572,298,900,100/6,178,083.50
  6. Step 6: Final answer
    x = 26,799,945.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.