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Finding the Third Proportional to 2,376,172.13 and 4,878,316.13

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Solution

The third proportional to 2,376,172.13 and 4,878,316.13 is: 10,015,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,172.13 : 4,878,316.13 = 4,878,316.13 : x
  2. Step 2: Convert to fraction form
    2,376,172.13/4,878,316.13 = 4,878,316.13/x
  3. Step 3: Cross multiply
    2,376,172.13x = 4,878,316.13 × 4,878,316.13
  4. Step 4: Simplify right side
    2,376,172.13x = 23,797,968,215,435.02
  5. Step 5: Solve for x
    x = 23,797,968,215,435.02/2,376,172.13
  6. Step 6: Final answer
    x = 10,015,254.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.