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Finding the Third Proportional to 342,022,464 and 732,473,865

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Solution

The third proportional to 342,022,464 and 732,473,865 is: 1,568,662,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,022,464 : 732,473,865 = 732,473,865 : x
  2. Step 2: Convert to fraction form
    342,022,464/732,473,865 = 732,473,865/x
  3. Step 3: Cross multiply
    342,022,464x = 732,473,865 × 732,473,865
  4. Step 4: Simplify right side
    342,022,464x = 536,517,962,908,038,208
  5. Step 5: Solve for x
    x = 536,517,962,908,038,208/342,022,464
  6. Step 6: Final answer
    x = 1,568,662,937.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.