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Finding the Third Proportional to 4,943,729 and 10,830,033

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Solution

The third proportional to 4,943,729 and 10,830,033 is: 23,724,928.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943,729 : 10,830,033 = 10,830,033 : x
  2. Step 2: Convert to fraction form
    4,943,729/10,830,033 = 10,830,033/x
  3. Step 3: Cross multiply
    4,943,729x = 10,830,033 × 10,830,033
  4. Step 4: Simplify right side
    4,943,729x = 117,289,614,781,089
  5. Step 5: Solve for x
    x = 117,289,614,781,089/4,943,729
  6. Step 6: Final answer
    x = 23,724,928.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.