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Finding the Third Proportional to 559,263,984 and 868,341,096

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Solution

The third proportional to 559,263,984 and 868,341,096 is: 1,348,229,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,263,984 : 868,341,096 = 868,341,096 : x
  2. Step 2: Convert to fraction form
    559,263,984/868,341,096 = 868,341,096/x
  3. Step 3: Cross multiply
    559,263,984x = 868,341,096 × 868,341,096
  4. Step 4: Simplify right side
    559,263,984x = 754,016,259,002,481,152
  5. Step 5: Solve for x
    x = 754,016,259,002,481,152/559,263,984
  6. Step 6: Final answer
    x = 1,348,229,602.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.