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Finding the Third Proportional to 340,730,261 and 741,159,980

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Solution

The third proportional to 340,730,261 and 741,159,980 is: 1,612,178,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,261 : 741,159,980 = 741,159,980 : x
  2. Step 2: Convert to fraction form
    340,730,261/741,159,980 = 741,159,980/x
  3. Step 3: Cross multiply
    340,730,261x = 741,159,980 × 741,159,980
  4. Step 4: Simplify right side
    340,730,261x = 549,318,115,953,600,384
  5. Step 5: Solve for x
    x = 549,318,115,953,600,384/340,730,261
  6. Step 6: Final answer
    x = 1,612,178,837.13

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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.