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Finding the Third Proportional to 6,298,570.13 and 13,817,484

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Solution

The third proportional to 6,298,570.13 and 13,817,484 is: 30,312,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298,570.13 : 13,817,484 = 13,817,484 : x
  2. Step 2: Convert to fraction form
    6,298,570.13/13,817,484 = 13,817,484/x
  3. Step 3: Cross multiply
    6,298,570.13x = 13,817,484 × 13,817,484
  4. Step 4: Simplify right side
    6,298,570.13x = 190,922,864,090,256
  5. Step 5: Solve for x
    x = 190,922,864,090,256/6,298,570.13
  6. Step 6: Final answer
    x = 30,312,096.29

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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.