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Finding the Third Proportional to 342,254,136 and 747,225,600

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Solution

The third proportional to 342,254,136 and 747,225,600 is: 1,631,378,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,254,136 : 747,225,600 = 747,225,600 : x
  2. Step 2: Convert to fraction form
    342,254,136/747,225,600 = 747,225,600/x
  3. Step 3: Cross multiply
    342,254,136x = 747,225,600 × 747,225,600
  4. Step 4: Simplify right side
    342,254,136x = 558,346,097,295,360,000
  5. Step 5: Solve for x
    x = 558,346,097,295,360,000/342,254,136
  6. Step 6: Final answer
    x = 1,631,378,670.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.