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Finding the Third Proportional to 13,884,164,157 and 21,151,089,562.50

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Solution

The third proportional to 13,884,164,157 and 21,151,089,562.50 is: 32,221,499,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884,164,157 : 21,151,089,562.50 = 21,151,089,562.50 : x
  2. Step 2: Convert to fraction form
    13,884,164,157/21,151,089,562.50 = 21,151,089,562.50/x
  3. Step 3: Cross multiply
    13,884,164,157x = 21,151,089,562.50 × 21,151,089,562.50
  4. Step 4: Simplify right side
    13,884,164,157x = 447,368,589,680,896,442,368
  5. Step 5: Solve for x
    x = 447,368,589,680,896,442,368/13,884,164,157
  6. Step 6: Final answer
    x = 32,221,499,589.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.