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Finding the Third Proportional to 2,211,386.06 and 4,730,182.31

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Solution

The third proportional to 2,211,386.06 and 4,730,182.31 is: 10,117,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,386.06 : 4,730,182.31 = 4,730,182.31 : x
  2. Step 2: Convert to fraction form
    2,211,386.06/4,730,182.31 = 4,730,182.31/x
  3. Step 3: Cross multiply
    2,211,386.06x = 4,730,182.31 × 4,730,182.31
  4. Step 4: Simplify right side
    2,211,386.06x = 22,374,624,709,487.85
  5. Step 5: Solve for x
    x = 22,374,624,709,487.85/2,211,386.06
  6. Step 6: Final answer
    x = 10,117,918.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.