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Finding the Third Proportional to 14,692,198,030 and 30,001,074,291.50

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Solution

The third proportional to 14,692,198,030 and 30,001,074,291.50 is: 61,261,388,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692,198,030 : 30,001,074,291.50 = 30,001,074,291.50 : x
  2. Step 2: Convert to fraction form
    14,692,198,030/30,001,074,291.50 = 30,001,074,291.50/x
  3. Step 3: Cross multiply
    14,692,198,030x = 30,001,074,291.50 × 30,001,074,291.50
  4. Step 4: Simplify right side
    14,692,198,030x = 900,064,458,644,102,184,960
  5. Step 5: Solve for x
    x = 900,064,458,644,102,184,960/14,692,198,030
  6. Step 6: Final answer
    x = 61,261,388,990.69

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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.