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Finding the Third Proportional to 59,294,604,889 and 90,331,229,045

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Solution

The third proportional to 59,294,604,889 and 90,331,229,045 is: 137,613,379,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,294,604,889 : 90,331,229,045 = 90,331,229,045 : x
  2. Step 2: Convert to fraction form
    59,294,604,889/90,331,229,045 = 90,331,229,045/x
  3. Step 3: Cross multiply
    59,294,604,889x = 90,331,229,045 × 90,331,229,045
  4. Step 4: Simplify right side
    59,294,604,889x = 8,159,730,940,780,251,971,584
  5. Step 5: Solve for x
    x = 8,159,730,940,780,251,971,584/59,294,604,889
  6. Step 6: Final answer
    x = 137,613,379,093.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.