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Finding the Third Proportional to 4,169,718 and 9,136,597.50

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Solution

The third proportional to 4,169,718 and 9,136,597.50 is: 20,019,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169,718 : 9,136,597.50 = 9,136,597.50 : x
  2. Step 2: Convert to fraction form
    4,169,718/9,136,597.50 = 9,136,597.50/x
  3. Step 3: Cross multiply
    4,169,718x = 9,136,597.50 × 9,136,597.50
  4. Step 4: Simplify right side
    4,169,718x = 83,477,413,877,006.25
  5. Step 5: Solve for x
    x = 83,477,413,877,006.25/4,169,718
  6. Step 6: Final answer
    x = 20,019,918.34

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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.