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Finding the Third Proportional to 420,074,234,862 and 903,860,484,364

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Solution

The third proportional to 420,074,234,862 and 903,860,484,364 is: 1,944,808,101,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,074,234,862 : 903,860,484,364 = 903,860,484,364 : x
  2. Step 2: Convert to fraction form
    420,074,234,862/903,860,484,364 = 903,860,484,364/x
  3. Step 3: Cross multiply
    420,074,234,862x = 903,860,484,364 × 903,860,484,364
  4. Step 4: Simplify right side
    420,074,234,862x = 816,963,775,194,724,688,723,968
  5. Step 5: Solve for x
    x = 816,963,775,194,724,688,723,968/420,074,234,862
  6. Step 6: Final answer
    x = 1,944,808,101,508.79

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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.