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Finding the Third Proportional to 10,082,094 and 22,123,740

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Solution

The third proportional to 10,082,094 and 22,123,740 is: 48,547,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,094 : 22,123,740 = 22,123,740 : x
  2. Step 2: Convert to fraction form
    10,082,094/22,123,740 = 22,123,740/x
  3. Step 3: Cross multiply
    10,082,094x = 22,123,740 × 22,123,740
  4. Step 4: Simplify right side
    10,082,094x = 489,459,871,587,600
  5. Step 5: Solve for x
    x = 489,459,871,587,600/10,082,094
  6. Step 6: Final answer
    x = 48,547,441.79

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Why These Related Problems?

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