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Finding the Third Proportional to 21,284,232 and 32,457,768

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Solution

The third proportional to 21,284,232 and 32,457,768 is: 49,497,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284,232 : 32,457,768 = 32,457,768 : x
  2. Step 2: Convert to fraction form
    21,284,232/32,457,768 = 32,457,768/x
  3. Step 3: Cross multiply
    21,284,232x = 32,457,768 × 32,457,768
  4. Step 4: Simplify right side
    21,284,232x = 1,053,506,703,541,824
  5. Step 5: Solve for x
    x = 1,053,506,703,541,824/21,284,232
  6. Step 6: Final answer
    x = 49,497,050.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.