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Finding the Third Proportional to 66,763,395 and 142,345,317

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Solution

The third proportional to 66,763,395 and 142,345,317 is: 303,492,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,763,395 : 142,345,317 = 142,345,317 : x
  2. Step 2: Convert to fraction form
    66,763,395/142,345,317 = 142,345,317/x
  3. Step 3: Cross multiply
    66,763,395x = 142,345,317 × 142,345,317
  4. Step 4: Simplify right side
    66,763,395x = 20,262,189,271,830,488
  5. Step 5: Solve for x
    x = 20,262,189,271,830,488/66,763,395
  6. Step 6: Final answer
    x = 303,492,494.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.