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Finding the Third Proportional to 9,645,212 and 20,804,841

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Solution

The third proportional to 9,645,212 and 20,804,841 is: 44,876,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645,212 : 20,804,841 = 20,804,841 : x
  2. Step 2: Convert to fraction form
    9,645,212/20,804,841 = 20,804,841/x
  3. Step 3: Cross multiply
    9,645,212x = 20,804,841 × 20,804,841
  4. Step 4: Simplify right side
    9,645,212x = 432,841,409,035,281
  5. Step 5: Solve for x
    x = 432,841,409,035,281/9,645,212
  6. Step 6: Final answer
    x = 44,876,298.11

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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.