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Finding the Third Proportional to 2,862,680.48 and 6,173,730.14

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Solution

The third proportional to 2,862,680.48 and 6,173,730.14 is: 13,314,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862,680.48 : 6,173,730.14 = 6,173,730.14 : x
  2. Step 2: Convert to fraction form
    2,862,680.48/6,173,730.14 = 6,173,730.14/x
  3. Step 3: Cross multiply
    2,862,680.48x = 6,173,730.14 × 6,173,730.14
  4. Step 4: Simplify right side
    2,862,680.48x = 38,114,943,849,261.59
  5. Step 5: Solve for x
    x = 38,114,943,849,261.59/2,862,680.48
  6. Step 6: Final answer
    x = 13,314,424.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.