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Finding the Third Proportional to 9,703,266,325.50 and 14,516,110,788

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Solution

The third proportional to 9,703,266,325.50 and 14,516,110,788 is: 21,716,138,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703,266,325.50 : 14,516,110,788 = 14,516,110,788 : x
  2. Step 2: Convert to fraction form
    9,703,266,325.50/14,516,110,788 = 14,516,110,788/x
  3. Step 3: Cross multiply
    9,703,266,325.50x = 14,516,110,788 × 14,516,110,788
  4. Step 4: Simplify right side
    9,703,266,325.50x = 210,717,472,409,489,965,056
  5. Step 5: Solve for x
    x = 210,717,472,409,489,965,056/9,703,266,325.50
  6. Step 6: Final answer
    x = 21,716,138,189.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.