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Finding the Third Proportional to 64,084,767 and 99,293,643

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Solution

The third proportional to 64,084,767 and 99,293,643 is: 153,846,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,084,767 : 99,293,643 = 99,293,643 : x
  2. Step 2: Convert to fraction form
    64,084,767/99,293,643 = 99,293,643/x
  3. Step 3: Cross multiply
    64,084,767x = 99,293,643 × 99,293,643
  4. Step 4: Simplify right side
    64,084,767x = 9,859,227,540,211,448
  5. Step 5: Solve for x
    x = 9,859,227,540,211,448/64,084,767
  6. Step 6: Final answer
    x = 153,846,662.81

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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.