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Finding the Third Proportional to 10,064,980,056 and 15,010,187,764.50

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Solution

The third proportional to 10,064,980,056 and 15,010,187,764.50 is: 22,385,115,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064,980,056 : 15,010,187,764.50 = 15,010,187,764.50 : x
  2. Step 2: Convert to fraction form
    10,064,980,056/15,010,187,764.50 = 15,010,187,764.50/x
  3. Step 3: Cross multiply
    10,064,980,056x = 15,010,187,764.50 × 15,010,187,764.50
  4. Step 4: Simplify right side
    10,064,980,056x = 225,305,736,725,545,517,056
  5. Step 5: Solve for x
    x = 225,305,736,725,545,517,056/10,064,980,056
  6. Step 6: Final answer
    x = 22,385,115,069.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.