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Finding the Third Proportional to 340,730,268 and 741,159,994

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Solution

The third proportional to 340,730,268 and 741,159,994 is: 1,612,178,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,268 : 741,159,994 = 741,159,994 : x
  2. Step 2: Convert to fraction form
    340,730,268/741,159,994 = 741,159,994/x
  3. Step 3: Cross multiply
    340,730,268x = 741,159,994 × 741,159,994
  4. Step 4: Simplify right side
    340,730,268x = 549,318,136,706,080,064
  5. Step 5: Solve for x
    x = 549,318,136,706,080,064/340,730,268
  6. Step 6: Final answer
    x = 1,612,178,864.91

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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.