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Finding the Third Proportional to 332,343,785 and 769,316,378

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Solution

The third proportional to 332,343,785 and 769,316,378 is: 1,780,829,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,343,785 : 769,316,378 = 769,316,378 : x
  2. Step 2: Convert to fraction form
    332,343,785/769,316,378 = 769,316,378/x
  3. Step 3: Cross multiply
    332,343,785x = 769,316,378 × 769,316,378
  4. Step 4: Simplify right side
    332,343,785x = 591,847,689,459,038,848
  5. Step 5: Solve for x
    x = 591,847,689,459,038,848/332,343,785
  6. Step 6: Final answer
    x = 1,780,829,719.62

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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.