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Finding the Third Proportional to 10,657,506.75 and 23,440,776.75

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Solution

The third proportional to 10,657,506.75 and 23,440,776.75 is: 51,557,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657,506.75 : 23,440,776.75 = 23,440,776.75 : x
  2. Step 2: Convert to fraction form
    10,657,506.75/23,440,776.75 = 23,440,776.75/x
  3. Step 3: Cross multiply
    10,657,506.75x = 23,440,776.75 × 23,440,776.75
  4. Step 4: Simplify right side
    10,657,506.75x = 549,470,014,643,340.56
  5. Step 5: Solve for x
    x = 549,470,014,643,340.56/10,657,506.75
  6. Step 6: Final answer
    x = 51,557,088.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.