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Finding the Third Proportional to 6,651,009,816 and 9,298,503,170

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Solution

The third proportional to 6,651,009,816 and 9,298,503,170 is: 12,999,854,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651,009,816 : 9,298,503,170 = 9,298,503,170 : x
  2. Step 2: Convert to fraction form
    6,651,009,816/9,298,503,170 = 9,298,503,170/x
  3. Step 3: Cross multiply
    6,651,009,816x = 9,298,503,170 × 9,298,503,170
  4. Step 4: Simplify right side
    6,651,009,816x = 86,462,161,202,500,042,752
  5. Step 5: Solve for x
    x = 86,462,161,202,500,042,752/6,651,009,816
  6. Step 6: Final answer
    x = 12,999,854,697.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.