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Finding the Third Proportional to 9,720,985 and 21,272,786

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Solution

The third proportional to 9,720,985 and 21,272,786 is: 46,552,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720,985 : 21,272,786 = 21,272,786 : x
  2. Step 2: Convert to fraction form
    9,720,985/21,272,786 = 21,272,786/x
  3. Step 3: Cross multiply
    9,720,985x = 21,272,786 × 21,272,786
  4. Step 4: Simplify right side
    9,720,985x = 452,531,424,201,796
  5. Step 5: Solve for x
    x = 452,531,424,201,796/9,720,985
  6. Step 6: Final answer
    x = 46,552,013.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.