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Finding the Third Proportional to 2,176,232.06 and 4,730,405.06

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Solution

The third proportional to 2,176,232.06 and 4,730,405.06 is: 10,282,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,232.06 : 4,730,405.06 = 4,730,405.06 : x
  2. Step 2: Convert to fraction form
    2,176,232.06/4,730,405.06 = 4,730,405.06/x
  3. Step 3: Cross multiply
    2,176,232.06x = 4,730,405.06 × 4,730,405.06
  4. Step 4: Simplify right side
    2,176,232.06x = 22,376,732,055,325.63
  5. Step 5: Solve for x
    x = 22,376,732,055,325.63/2,176,232.06
  6. Step 6: Final answer
    x = 10,282,328.08

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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.