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Finding the Third Proportional to 14,692,198,030.50 and 30,001,074,292.50

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Solution

The third proportional to 14,692,198,030.50 and 30,001,074,292.50 is: 61,261,388,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692,198,030.50 : 30,001,074,292.50 = 30,001,074,292.50 : x
  2. Step 2: Convert to fraction form
    14,692,198,030.50/30,001,074,292.50 = 30,001,074,292.50/x
  3. Step 3: Cross multiply
    14,692,198,030.50x = 30,001,074,292.50 × 30,001,074,292.50
  4. Step 4: Simplify right side
    14,692,198,030.50x = 900,064,458,704,104,325,120
  5. Step 5: Solve for x
    x = 900,064,458,704,104,325,120/14,692,198,030.50
  6. Step 6: Final answer
    x = 61,261,388,992.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.