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Finding the Third Proportional to 24,296,991.21 and 53,139,602.13

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Solution

The third proportional to 24,296,991.21 and 53,139,602.13 is: 116,220,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296,991.21 : 53,139,602.13 = 53,139,602.13 : x
  2. Step 2: Convert to fraction form
    24,296,991.21/53,139,602.13 = 53,139,602.13/x
  3. Step 3: Cross multiply
    24,296,991.21x = 53,139,602.13 × 53,139,602.13
  4. Step 4: Simplify right side
    24,296,991.21x = 2,823,817,314,210,761.50
  5. Step 5: Solve for x
    x = 2,823,817,314,210,761.50/24,296,991.21
  6. Step 6: Final answer
    x = 116,220,864.11

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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.