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Finding the Third Proportional to 58,120,940,995 and 90,975,146,815

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Solution

The third proportional to 58,120,940,995 and 90,975,146,815 is: 142,400,952,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,120,940,995 : 90,975,146,815 = 90,975,146,815 : x
  2. Step 2: Convert to fraction form
    58,120,940,995/90,975,146,815 = 90,975,146,815/x
  3. Step 3: Cross multiply
    58,120,940,995x = 90,975,146,815 × 90,975,146,815
  4. Step 4: Simplify right side
    58,120,940,995x = 8,276,477,338,010,804,813,824
  5. Step 5: Solve for x
    x = 8,276,477,338,010,804,813,824/58,120,940,995
  6. Step 6: Final answer
    x = 142,400,952,158.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.