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Finding the Third Proportional to 340,730,247.94 and 741,159,959.63

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Solution

The third proportional to 340,730,247.94 and 741,159,959.63 is: 1,612,178,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,247.94 : 741,159,959.63 = 741,159,959.63 : x
  2. Step 2: Convert to fraction form
    340,730,247.94/741,159,959.63 = 741,159,959.63/x
  3. Step 3: Cross multiply
    340,730,247.94x = 741,159,959.63 × 741,159,959.63
  4. Step 4: Simplify right side
    340,730,247.94x = 549,318,085,751,331,648
  5. Step 5: Solve for x
    x = 549,318,085,751,331,648/340,730,247.94
  6. Step 6: Final answer
    x = 1,612,178,810.29

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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.