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Finding the Third Proportional to 14,980,073,728 and 22,035,739,774

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Solution

The third proportional to 14,980,073,728 and 22,035,739,774 is: 32,414,648,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980,073,728 : 22,035,739,774 = 22,035,739,774 : x
  2. Step 2: Convert to fraction form
    14,980,073,728/22,035,739,774 = 22,035,739,774/x
  3. Step 3: Cross multiply
    14,980,073,728x = 22,035,739,774 × 22,035,739,774
  4. Step 4: Simplify right side
    14,980,073,728x = 485,573,827,387,445,542,912
  5. Step 5: Solve for x
    x = 485,573,827,387,445,542,912/14,980,073,728
  6. Step 6: Final answer
    x = 32,414,648,699.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.