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Finding the Third Proportional to 16,415,450,148 and 33,287,679,486

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Solution

The third proportional to 16,415,450,148 and 33,287,679,486 is: 67,501,627,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415,450,148 : 33,287,679,486 = 33,287,679,486 : x
  2. Step 2: Convert to fraction form
    16,415,450,148/33,287,679,486 = 33,287,679,486/x
  3. Step 3: Cross multiply
    16,415,450,148x = 33,287,679,486 × 33,287,679,486
  4. Step 4: Simplify right side
    16,415,450,148x = 1,108,069,605,562,665,271,296
  5. Step 5: Solve for x
    x = 1,108,069,605,562,665,271,296/16,415,450,148
  6. Step 6: Final answer
    x = 67,501,627,769.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.