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Finding the Third Proportional to 10,082,034 and 22,123,619

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Solution

The third proportional to 10,082,034 and 22,123,619 is: 48,547,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,034 : 22,123,619 = 22,123,619 : x
  2. Step 2: Convert to fraction form
    10,082,034/22,123,619 = 22,123,619/x
  3. Step 3: Cross multiply
    10,082,034x = 22,123,619 × 22,123,619
  4. Step 4: Simplify right side
    10,082,034x = 489,454,517,657,161
  5. Step 5: Solve for x
    x = 489,454,517,657,161/10,082,034
  6. Step 6: Final answer
    x = 48,547,199.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.