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Finding the Third Proportional to 6,004,909 and 9,294,590

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Solution

The third proportional to 6,004,909 and 9,294,590 is: 14,386,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004,909 : 9,294,590 = 9,294,590 : x
  2. Step 2: Convert to fraction form
    6,004,909/9,294,590 = 9,294,590/x
  3. Step 3: Cross multiply
    6,004,909x = 9,294,590 × 9,294,590
  4. Step 4: Simplify right side
    6,004,909x = 86,389,403,268,100
  5. Step 5: Solve for x
    x = 86,389,403,268,100/6,004,909
  6. Step 6: Final answer
    x = 14,386,463.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.