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Finding the Third Proportional to 14,250,683 and 30,740,854

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Solution

The third proportional to 14,250,683 and 30,740,854 is: 66,312,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,250,683 : 30,740,854 = 30,740,854 : x
  2. Step 2: Convert to fraction form
    14,250,683/30,740,854 = 30,740,854/x
  3. Step 3: Cross multiply
    14,250,683x = 30,740,854 × 30,740,854
  4. Step 4: Simplify right side
    14,250,683x = 945,000,104,649,316
  5. Step 5: Solve for x
    x = 945,000,104,649,316/14,250,683
  6. Step 6: Final answer
    x = 66,312,618.47

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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.