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Finding the Third Proportional to 678,619,873,720 and 1,012,044,898,299

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Solution

The third proportional to 678,619,873,720 and 1,012,044,898,299 is: 1,509,291,012,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,619,873,720 : 1,012,044,898,299 = 1,012,044,898,299 : x
  2. Step 2: Convert to fraction form
    678,619,873,720/1,012,044,898,299 = 1,012,044,898,299/x
  3. Step 3: Cross multiply
    678,619,873,720x = 1,012,044,898,299 × 1,012,044,898,299
  4. Step 4: Simplify right side
    678,619,873,720x = 1,024,234,876,173,033,215,623,168
  5. Step 5: Solve for x
    x = 1,024,234,876,173,033,215,623,168/678,619,873,720
  6. Step 6: Final answer
    x = 1,509,291,012,298.93

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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.