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Finding the Third Proportional to 26,307,997,334 and 61,387,448,436

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Solution

The third proportional to 26,307,997,334 and 61,387,448,436 is: 143,242,329,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,307,997,334 : 61,387,448,436 = 61,387,448,436 : x
  2. Step 2: Convert to fraction form
    26,307,997,334/61,387,448,436 = 61,387,448,436/x
  3. Step 3: Cross multiply
    26,307,997,334x = 61,387,448,436 × 61,387,448,436
  4. Step 4: Simplify right side
    26,307,997,334x = 3,768,418,825,482,559,029,248
  5. Step 5: Solve for x
    x = 3,768,418,825,482,559,029,248/26,307,997,334
  6. Step 6: Final answer
    x = 143,242,329,609.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.