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Finding the Third Proportional to 420,622,065.38 and 973,663,920.56

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Solution

The third proportional to 420,622,065.38 and 973,663,920.56 is: 2,253,855,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,622,065.38 : 973,663,920.56 = 973,663,920.56 : x
  2. Step 2: Convert to fraction form
    420,622,065.38/973,663,920.56 = 973,663,920.56/x
  3. Step 3: Cross multiply
    420,622,065.38x = 973,663,920.56 × 973,663,920.56
  4. Step 4: Simplify right side
    420,622,065.38x = 948,021,430,205,138,304
  5. Step 5: Solve for x
    x = 948,021,430,205,138,304/420,622,065.38
  6. Step 6: Final answer
    x = 2,253,855,677.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.