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Finding the Third Proportional to 283,676,096 and 621,160,160

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Solution

The third proportional to 283,676,096 and 621,160,160 is: 1,360,142,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,676,096 : 621,160,160 = 621,160,160 : x
  2. Step 2: Convert to fraction form
    283,676,096/621,160,160 = 621,160,160/x
  3. Step 3: Cross multiply
    283,676,096x = 621,160,160 × 621,160,160
  4. Step 4: Simplify right side
    283,676,096x = 385,839,944,371,225,600
  5. Step 5: Solve for x
    x = 385,839,944,371,225,600/283,676,096
  6. Step 6: Final answer
    x = 1,360,142,605.64

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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.