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Finding the Third Proportional to 9,291,135,786 and 14,203,323,765

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Solution

The third proportional to 9,291,135,786 and 14,203,323,765 is: 21,712,566,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291,135,786 : 14,203,323,765 = 14,203,323,765 : x
  2. Step 2: Convert to fraction form
    9,291,135,786/14,203,323,765 = 14,203,323,765/x
  3. Step 3: Cross multiply
    9,291,135,786x = 14,203,323,765 × 14,203,323,765
  4. Step 4: Simplify right side
    9,291,135,786x = 201,734,405,973,413,789,696
  5. Step 5: Solve for x
    x = 201,734,405,973,413,789,696/9,291,135,786
  6. Step 6: Final answer
    x = 21,712,566,753.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.