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Finding the Third Proportional to 20,817,322.31 and 45,109,769.06

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Solution

The third proportional to 20,817,322.31 and 45,109,769.06 is: 97,749,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817,322.31 : 45,109,769.06 = 45,109,769.06 : x
  2. Step 2: Convert to fraction form
    20,817,322.31/45,109,769.06 = 45,109,769.06/x
  3. Step 3: Cross multiply
    20,817,322.31x = 45,109,769.06 × 45,109,769.06
  4. Step 4: Simplify right side
    20,817,322.31x = 2,034,891,264,872,082.25
  5. Step 5: Solve for x
    x = 2,034,891,264,872,082.25/20,817,322.31
  6. Step 6: Final answer
    x = 97,749,904.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.