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Finding the Third Proportional to 958,442,966 and 1,369,639,928

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Solution

The third proportional to 958,442,966 and 1,369,639,928 is: 1,957,251,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,442,966 : 1,369,639,928 = 1,369,639,928 : x
  2. Step 2: Convert to fraction form
    958,442,966/1,369,639,928 = 1,369,639,928/x
  3. Step 3: Cross multiply
    958,442,966x = 1,369,639,928 × 1,369,639,928
  4. Step 4: Simplify right side
    958,442,966x = 1,875,913,532,371,845,120
  5. Step 5: Solve for x
    x = 1,875,913,532,371,845,120/958,442,966
  6. Step 6: Final answer
    x = 1,957,251,082.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.