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Finding the Third Proportional to 678,619,873,726.50 and 1,012,044,898,309.50

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Solution

The third proportional to 678,619,873,726.50 and 1,012,044,898,309.50 is: 1,509,291,012,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,619,873,726.50 : 1,012,044,898,309.50 = 1,012,044,898,309.50 : x
  2. Step 2: Convert to fraction form
    678,619,873,726.50/1,012,044,898,309.50 = 1,012,044,898,309.50/x
  3. Step 3: Cross multiply
    678,619,873,726.50x = 1,012,044,898,309.50 × 1,012,044,898,309.50
  4. Step 4: Simplify right side
    678,619,873,726.50x = 1,024,234,876,194,286,190,198,784
  5. Step 5: Solve for x
    x = 1,024,234,876,194,286,190,198,784/678,619,873,726.50
  6. Step 6: Final answer
    x = 1,509,291,012,315.80

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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.