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Finding the Third Proportional to 6,457,920.54 and 9,304,899.05

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Solution

The third proportional to 6,457,920.54 and 9,304,899.05 is: 13,406,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,920.54 : 9,304,899.05 = 9,304,899.05 : x
  2. Step 2: Convert to fraction form
    6,457,920.54/9,304,899.05 = 9,304,899.05/x
  3. Step 3: Cross multiply
    6,457,920.54x = 9,304,899.05 × 9,304,899.05
  4. Step 4: Simplify right side
    6,457,920.54x = 86,581,146,272,535.28
  5. Step 5: Solve for x
    x = 86,581,146,272,535.28/6,457,920.54
  6. Step 6: Final answer
    x = 13,406,969.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.