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Finding the Third Proportional to 5,964,317,330 and 9,335,866,971

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Solution

The third proportional to 5,964,317,330 and 9,335,866,971 is: 14,613,308,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964,317,330 : 9,335,866,971 = 9,335,866,971 : x
  2. Step 2: Convert to fraction form
    5,964,317,330/9,335,866,971 = 9,335,866,971/x
  3. Step 3: Cross multiply
    5,964,317,330x = 9,335,866,971 × 9,335,866,971
  4. Step 4: Simplify right side
    5,964,317,330x = 87,158,412,100,208,721,920
  5. Step 5: Solve for x
    x = 87,158,412,100,208,721,920/5,964,317,330
  6. Step 6: Final answer
    x = 14,613,308,997.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.