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Finding the Third Proportional to 64,084,769 and 99,293,646

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Solution

The third proportional to 64,084,769 and 99,293,646 is: 153,846,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,084,769 : 99,293,646 = 99,293,646 : x
  2. Step 2: Convert to fraction form
    64,084,769/99,293,646 = 99,293,646/x
  3. Step 3: Cross multiply
    64,084,769x = 99,293,646 × 99,293,646
  4. Step 4: Simplify right side
    64,084,769x = 9,859,228,135,973,316
  5. Step 5: Solve for x
    x = 9,859,228,135,973,316/64,084,769
  6. Step 6: Final answer
    x = 153,846,667.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.