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Finding the Third Proportional to 13,316,982,729 and 28,978,290,823.50

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Solution

The third proportional to 13,316,982,729 and 28,978,290,823.50 is: 63,057,928,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,316,982,729 : 28,978,290,823.50 = 28,978,290,823.50 : x
  2. Step 2: Convert to fraction form
    13,316,982,729/28,978,290,823.50 = 28,978,290,823.50/x
  3. Step 3: Cross multiply
    13,316,982,729x = 28,978,290,823.50 × 28,978,290,823.50
  4. Step 4: Simplify right side
    13,316,982,729x = 839,741,339,051,344,265,216
  5. Step 5: Solve for x
    x = 839,741,339,051,344,265,216/13,316,982,729
  6. Step 6: Final answer
    x = 63,057,928,071.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.