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Finding the Third Proportional to 32,650,797,562,554 and 70,147,078,588,788

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Solution

The third proportional to 32,650,797,562,554 and 70,147,078,588,788 is: 150,704,209,448,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650,797,562,554 : 70,147,078,588,788 = 70,147,078,588,788 : x
  2. Step 2: Convert to fraction form
    32,650,797,562,554/70,147,078,588,788 = 70,147,078,588,788/x
  3. Step 3: Cross multiply
    32,650,797,562,554x = 70,147,078,588,788 × 70,147,078,588,788
  4. Step 4: Simplify right side
    32,650,797,562,554x = 4,920,612,634,541,599,761,251,696,640
  5. Step 5: Solve for x
    x = 4,920,612,634,541,599,761,251,696,640/32,650,797,562,554
  6. Step 6: Final answer
    x = 150,704,209,448,925.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.