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Finding the Third Proportional to 340,730,266 and 741,159,990

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Solution

The third proportional to 340,730,266 and 741,159,990 is: 1,612,178,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,266 : 741,159,990 = 741,159,990 : x
  2. Step 2: Convert to fraction form
    340,730,266/741,159,990 = 741,159,990/x
  3. Step 3: Cross multiply
    340,730,266x = 741,159,990 × 741,159,990
  4. Step 4: Simplify right side
    340,730,266x = 549,318,130,776,800,128
  5. Step 5: Solve for x
    x = 549,318,130,776,800,128/340,730,266
  6. Step 6: Final answer
    x = 1,612,178,856.98

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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.