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Finding the Third Proportional to 41,574,111.75 and 89,721,432

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Solution

The third proportional to 41,574,111.75 and 89,721,432 is: 193,628,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,574,111.75 : 89,721,432 = 89,721,432 : x
  2. Step 2: Convert to fraction form
    41,574,111.75/89,721,432 = 89,721,432/x
  3. Step 3: Cross multiply
    41,574,111.75x = 89,721,432 × 89,721,432
  4. Step 4: Simplify right side
    41,574,111.75x = 8,049,935,360,130,624
  5. Step 5: Solve for x
    x = 8,049,935,360,130,624/41,574,111.75
  6. Step 6: Final answer
    x = 193,628,559.25

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Why These Related Problems?

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