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Finding the Third Proportional to 74,824,569,265.22 and 154,952,965,788.89

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Solution

The third proportional to 74,824,569,265.22 and 154,952,965,788.89 is: 320,889,539,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,824,569,265.22 : 154,952,965,788.89 = 154,952,965,788.89 : x
  2. Step 2: Convert to fraction form
    74,824,569,265.22/154,952,965,788.89 = 154,952,965,788.89/x
  3. Step 3: Cross multiply
    74,824,569,265.22x = 154,952,965,788.89 × 154,952,965,788.89
  4. Step 4: Simplify right side
    74,824,569,265.22x = 24,010,421,606,772,920,811,520
  5. Step 5: Solve for x
    x = 24,010,421,606,772,920,811,520/74,824,569,265.22
  6. Step 6: Final answer
    x = 320,889,539,927.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.