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Finding the Third Proportional to 21,101,996 and 45,726,547

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Solution

The third proportional to 21,101,996 and 45,726,547 is: 99,086,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101,996 : 45,726,547 = 45,726,547 : x
  2. Step 2: Convert to fraction form
    21,101,996/45,726,547 = 45,726,547/x
  3. Step 3: Cross multiply
    21,101,996x = 45,726,547 × 45,726,547
  4. Step 4: Simplify right side
    21,101,996x = 2,090,917,100,543,209
  5. Step 5: Solve for x
    x = 2,090,917,100,543,209/21,101,996
  6. Step 6: Final answer
    x = 99,086,223.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.