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Finding the Third Proportional to 12,688,822.13 and 26,824,159.13

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Solution

The third proportional to 12,688,822.13 and 26,824,159.13 is: 56,706,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688,822.13 : 26,824,159.13 = 26,824,159.13 : x
  2. Step 2: Convert to fraction form
    12,688,822.13/26,824,159.13 = 26,824,159.13/x
  3. Step 3: Cross multiply
    12,688,822.13x = 26,824,159.13 × 26,824,159.13
  4. Step 4: Simplify right side
    12,688,822.13x = 719,535,512,763,320.75
  5. Step 5: Solve for x
    x = 719,535,512,763,320.75/12,688,822.13
  6. Step 6: Final answer
    x = 56,706,249.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.