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Finding the Third Proportional to 9,139,538,070 and 19,901,614,923

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Solution

The third proportional to 9,139,538,070 and 19,901,614,923 is: 43,336,356,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139,538,070 : 19,901,614,923 = 19,901,614,923 : x
  2. Step 2: Convert to fraction form
    9,139,538,070/19,901,614,923 = 19,901,614,923/x
  3. Step 3: Cross multiply
    9,139,538,070x = 19,901,614,923 × 19,901,614,923
  4. Step 4: Simplify right side
    9,139,538,070x = 396,074,276,543,376,326,656
  5. Step 5: Solve for x
    x = 396,074,276,543,376,326,656/9,139,538,070
  6. Step 6: Final answer
    x = 43,336,356,116.67

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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.