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Finding the Third Proportional to 8,954,902.13 and 19,186,897.13

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Solution

The third proportional to 8,954,902.13 and 19,186,897.13 is: 41,110,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954,902.13 : 19,186,897.13 = 19,186,897.13 : x
  2. Step 2: Convert to fraction form
    8,954,902.13/19,186,897.13 = 19,186,897.13/x
  3. Step 3: Cross multiply
    8,954,902.13x = 19,186,897.13 × 19,186,897.13
  4. Step 4: Simplify right side
    8,954,902.13x = 368,137,021,285,333.25
  5. Step 5: Solve for x
    x = 368,137,021,285,333.25/8,954,902.13
  6. Step 6: Final answer
    x = 41,110,111.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.