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Finding the Third Proportional to 420,074,234,773.88 and 903,860,484,184.12

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Solution

The third proportional to 420,074,234,773.88 and 903,860,484,184.12 is: 1,944,808,101,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,074,234,773.88 : 903,860,484,184.12 = 903,860,484,184.12 : x
  2. Step 2: Convert to fraction form
    420,074,234,773.88/903,860,484,184.12 = 903,860,484,184.12/x
  3. Step 3: Cross multiply
    420,074,234,773.88x = 903,860,484,184.12 × 903,860,484,184.12
  4. Step 4: Simplify right side
    420,074,234,773.88x = 816,963,774,869,551,775,219,712
  5. Step 5: Solve for x
    x = 816,963,774,869,551,775,219,712/420,074,234,773.88
  6. Step 6: Final answer
    x = 1,944,808,101,142.67

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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.