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Finding the Third Proportional to 236,611,754,068 and 557,996,207,914

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Solution

The third proportional to 236,611,754,068 and 557,996,207,914 is: 1,315,909,977,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,611,754,068 : 557,996,207,914 = 557,996,207,914 : x
  2. Step 2: Convert to fraction form
    236,611,754,068/557,996,207,914 = 557,996,207,914/x
  3. Step 3: Cross multiply
    236,611,754,068x = 557,996,207,914 × 557,996,207,914
  4. Step 4: Simplify right side
    236,611,754,068x = 311,359,768,046,403,948,904,448
  5. Step 5: Solve for x
    x = 311,359,768,046,403,948,904,448/236,611,754,068
  6. Step 6: Final answer
    x = 1,315,909,977,815.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.