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Finding the Third Proportional to 12,143,715.22 and 17,365,646.16

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Solution

The third proportional to 12,143,715.22 and 17,365,646.16 is: 24,833,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143,715.22 : 17,365,646.16 = 17,365,646.16 : x
  2. Step 2: Convert to fraction form
    12,143,715.22/17,365,646.16 = 17,365,646.16/x
  3. Step 3: Cross multiply
    12,143,715.22x = 17,365,646.16 × 17,365,646.16
  4. Step 4: Simplify right side
    12,143,715.22x = 301,565,666,627,571
  5. Step 5: Solve for x
    x = 301,565,666,627,571/12,143,715.22
  6. Step 6: Final answer
    x = 24,833,064.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.