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Finding the Third Proportional to 29,095,264 and 43,642,896

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Solution

The third proportional to 29,095,264 and 43,642,896 is: 65,464,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,095,264 : 43,642,896 = 43,642,896 : x
  2. Step 2: Convert to fraction form
    29,095,264/43,642,896 = 43,642,896/x
  3. Step 3: Cross multiply
    29,095,264x = 43,642,896 × 43,642,896
  4. Step 4: Simplify right side
    29,095,264x = 1,904,702,371,266,816
  5. Step 5: Solve for x
    x = 1,904,702,371,266,816/29,095,264
  6. Step 6: Final answer
    x = 65,464,344

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.