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Finding the Third Proportional to 5,746,396 and 8,569,768

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Solution

The third proportional to 5,746,396 and 8,569,768 is: 12,780,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,396 : 8,569,768 = 8,569,768 : x
  2. Step 2: Convert to fraction form
    5,746,396/8,569,768 = 8,569,768/x
  3. Step 3: Cross multiply
    5,746,396x = 8,569,768 × 8,569,768
  4. Step 4: Simplify right side
    5,746,396x = 73,440,923,573,824
  5. Step 5: Solve for x
    x = 73,440,923,573,824/5,746,396
  6. Step 6: Final answer
    x = 12,780,345.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.