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Finding the Third Proportional to 2,138,113.13 and 4,610,427.75

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Solution

The third proportional to 2,138,113.13 and 4,610,427.75 is: 9,941,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,113.13 : 4,610,427.75 = 4,610,427.75 : x
  2. Step 2: Convert to fraction form
    2,138,113.13/4,610,427.75 = 4,610,427.75/x
  3. Step 3: Cross multiply
    2,138,113.13x = 4,610,427.75 × 4,610,427.75
  4. Step 4: Simplify right side
    2,138,113.13x = 21,256,044,037,970.06
  5. Step 5: Solve for x
    x = 21,256,044,037,970.06/2,138,113.13
  6. Step 6: Final answer
    x = 9,941,496.45

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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.