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Finding the Third Proportional to 29,575,448,408 and 65,763,545,006

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Solution

The third proportional to 29,575,448,408 and 65,763,545,006 is: 146,230,880,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,575,448,408 : 65,763,545,006 = 65,763,545,006 : x
  2. Step 2: Convert to fraction form
    29,575,448,408/65,763,545,006 = 65,763,545,006/x
  3. Step 3: Cross multiply
    29,575,448,408x = 65,763,545,006 × 65,763,545,006
  4. Step 4: Simplify right side
    29,575,448,408x = 4,324,843,851,756,187,680,768
  5. Step 5: Solve for x
    x = 4,324,843,851,756,187,680,768/29,575,448,408
  6. Step 6: Final answer
    x = 146,230,880,157.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.