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Finding the Third Proportional to 9,827,264 and 21,264,232

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Solution

The third proportional to 9,827,264 and 21,264,232 is: 46,011,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827,264 : 21,264,232 = 21,264,232 : x
  2. Step 2: Convert to fraction form
    9,827,264/21,264,232 = 21,264,232/x
  3. Step 3: Cross multiply
    9,827,264x = 21,264,232 × 21,264,232
  4. Step 4: Simplify right side
    9,827,264x = 452,167,562,549,824
  5. Step 5: Solve for x
    x = 452,167,562,549,824/9,827,264
  6. Step 6: Final answer
    x = 46,011,541.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.