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Finding the Third Proportional to 10,082,023 and 22,123,597

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Solution

The third proportional to 10,082,023 and 22,123,597 is: 48,547,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,023 : 22,123,597 = 22,123,597 : x
  2. Step 2: Convert to fraction form
    10,082,023/22,123,597 = 22,123,597/x
  3. Step 3: Cross multiply
    10,082,023x = 22,123,597 × 22,123,597
  4. Step 4: Simplify right side
    10,082,023x = 489,453,544,218,409
  5. Step 5: Solve for x
    x = 489,453,544,218,409/10,082,023
  6. Step 6: Final answer
    x = 48,547,156.08

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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.