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Finding the Third Proportional to 13,884,163,816 and 21,151,089,030

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Solution

The third proportional to 13,884,163,816 and 21,151,089,030 is: 32,221,498,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884,163,816 : 21,151,089,030 = 21,151,089,030 : x
  2. Step 2: Convert to fraction form
    13,884,163,816/21,151,089,030 = 21,151,089,030/x
  3. Step 3: Cross multiply
    13,884,163,816x = 21,151,089,030 × 21,151,089,030
  4. Step 4: Simplify right side
    13,884,163,816x = 447,368,567,154,986,319,872
  5. Step 5: Solve for x
    x = 447,368,567,154,986,319,872/13,884,163,816
  6. Step 6: Final answer
    x = 32,221,498,758.14

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Why These Related Problems?

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