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Finding the Third Proportional to 357,294,099.66 and 773,945,373.94

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Solution

The third proportional to 357,294,099.66 and 773,945,373.94 is: 1,676,466,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,294,099.66 : 773,945,373.94 = 773,945,373.94 : x
  2. Step 2: Convert to fraction form
    357,294,099.66/773,945,373.94 = 773,945,373.94/x
  3. Step 3: Cross multiply
    357,294,099.66x = 773,945,373.94 × 773,945,373.94
  4. Step 4: Simplify right side
    357,294,099.66x = 598,991,441,839,256,704
  5. Step 5: Solve for x
    x = 598,991,441,839,256,704/357,294,099.66
  6. Step 6: Final answer
    x = 1,676,466,088.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.