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Finding the Third Proportional to 9,703,266,323.50 and 14,516,110,785.50

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Solution

The third proportional to 9,703,266,323.50 and 14,516,110,785.50 is: 21,716,138,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703,266,323.50 : 14,516,110,785.50 = 14,516,110,785.50 : x
  2. Step 2: Convert to fraction form
    9,703,266,323.50/14,516,110,785.50 = 14,516,110,785.50/x
  3. Step 3: Cross multiply
    9,703,266,323.50x = 14,516,110,785.50 × 14,516,110,785.50
  4. Step 4: Simplify right side
    9,703,266,323.50x = 210,717,472,336,909,434,880
  5. Step 5: Solve for x
    x = 210,717,472,336,909,434,880/9,703,266,323.50
  6. Step 6: Final answer
    x = 21,716,138,186.02

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Why These Related Problems?

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