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Finding the Third Proportional to 5,075,703.75 and 10,569,663.75

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Solution

The third proportional to 5,075,703.75 and 10,569,663.75 is: 22,010,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075,703.75 : 10,569,663.75 = 10,569,663.75 : x
  2. Step 2: Convert to fraction form
    5,075,703.75/10,569,663.75 = 10,569,663.75/x
  3. Step 3: Cross multiply
    5,075,703.75x = 10,569,663.75 × 10,569,663.75
  4. Step 4: Simplify right side
    5,075,703.75x = 111,717,791,788,064.06
  5. Step 5: Solve for x
    x = 111,717,791,788,064.06/5,075,703.75
  6. Step 6: Final answer
    x = 22,010,305.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.