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Finding the Third Proportional to 4,710,482.06 and 10,203,507.56

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Solution

The third proportional to 4,710,482.06 and 10,203,507.56 is: 22,102,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710,482.06 : 10,203,507.56 = 10,203,507.56 : x
  2. Step 2: Convert to fraction form
    4,710,482.06/10,203,507.56 = 10,203,507.56/x
  3. Step 3: Cross multiply
    4,710,482.06x = 10,203,507.56 × 10,203,507.56
  4. Step 4: Simplify right side
    4,710,482.06x = 104,111,566,577,994.69
  5. Step 5: Solve for x
    x = 104,111,566,577,994.69/4,710,482.06
  6. Step 6: Final answer
    x = 22,102,104.45

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Why These Related Problems?

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