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Finding the Third Proportional to 65,891,019 and 96,411,021

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Solution

The third proportional to 65,891,019 and 96,411,021 is: 141,067,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,891,019 : 96,411,021 = 96,411,021 : x
  2. Step 2: Convert to fraction form
    65,891,019/96,411,021 = 96,411,021/x
  3. Step 3: Cross multiply
    65,891,019x = 96,411,021 × 96,411,021
  4. Step 4: Simplify right side
    65,891,019x = 9,295,084,970,262,440
  5. Step 5: Solve for x
    x = 9,295,084,970,262,440/65,891,019
  6. Step 6: Final answer
    x = 141,067,555.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.