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Finding the Third Proportional to 4,314,957.19 and 9,302,416.31

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Solution

The third proportional to 4,314,957.19 and 9,302,416.31 is: 20,054,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314,957.19 : 9,302,416.31 = 9,302,416.31 : x
  2. Step 2: Convert to fraction form
    4,314,957.19/9,302,416.31 = 9,302,416.31/x
  3. Step 3: Cross multiply
    4,314,957.19x = 9,302,416.31 × 9,302,416.31
  4. Step 4: Simplify right side
    4,314,957.19x = 86,534,949,251,066.09
  5. Step 5: Solve for x
    x = 86,534,949,251,066.09/4,314,957.19
  6. Step 6: Final answer
    x = 20,054,648.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.