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Finding the Third Proportional to 425,475,778 and 931,664,142

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Solution

The third proportional to 425,475,778 and 931,664,142 is: 2,040,064,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,475,778 : 931,664,142 = 931,664,142 : x
  2. Step 2: Convert to fraction form
    425,475,778/931,664,142 = 931,664,142/x
  3. Step 3: Cross multiply
    425,475,778x = 931,664,142 × 931,664,142
  4. Step 4: Simplify right side
    425,475,778x = 867,998,073,488,596,224
  5. Step 5: Solve for x
    x = 867,998,073,488,596,224/425,475,778
  6. Step 6: Final answer
    x = 2,040,064,601.49

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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.