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Finding the Third Proportional to 340,730,356 and 741,160,172

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Solution

The third proportional to 340,730,356 and 741,160,172 is: 1,612,179,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,356 : 741,160,172 = 741,160,172 : x
  2. Step 2: Convert to fraction form
    340,730,356/741,160,172 = 741,160,172/x
  3. Step 3: Cross multiply
    340,730,356x = 741,160,172 × 741,160,172
  4. Step 4: Simplify right side
    340,730,356x = 549,318,400,559,069,568
  5. Step 5: Solve for x
    x = 549,318,400,559,069,568/340,730,356
  6. Step 6: Final answer
    x = 1,612,179,222.91

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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.