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Finding the Third Proportional to 342,254,133 and 747,225,594

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Solution

The third proportional to 342,254,133 and 747,225,594 is: 1,631,378,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,254,133 : 747,225,594 = 747,225,594 : x
  2. Step 2: Convert to fraction form
    342,254,133/747,225,594 = 747,225,594/x
  3. Step 3: Cross multiply
    342,254,133x = 747,225,594 × 747,225,594
  4. Step 4: Simplify right side
    342,254,133x = 558,346,088,328,652,864
  5. Step 5: Solve for x
    x = 558,346,088,328,652,864/342,254,133
  6. Step 6: Final answer
    x = 1,631,378,658.41

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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.