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Finding the Third Proportional to 14,672,098,452 and 32,226,570,450

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Solution

The third proportional to 14,672,098,452 and 32,226,570,450 is: 70,784,138,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672,098,452 : 32,226,570,450 = 32,226,570,450 : x
  2. Step 2: Convert to fraction form
    14,672,098,452/32,226,570,450 = 32,226,570,450/x
  3. Step 3: Cross multiply
    14,672,098,452x = 32,226,570,450 × 32,226,570,450
  4. Step 4: Simplify right side
    14,672,098,452x = 1,038,551,842,968,813,174,784
  5. Step 5: Solve for x
    x = 1,038,551,842,968,813,174,784/14,672,098,452
  6. Step 6: Final answer
    x = 70,784,138,094.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.