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Finding the Third Proportional to 14,047,965 and 30,648,388.50

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Solution

The third proportional to 14,047,965 and 30,648,388.50 is: 66,865,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047,965 : 30,648,388.50 = 30,648,388.50 : x
  2. Step 2: Convert to fraction form
    14,047,965/30,648,388.50 = 30,648,388.50/x
  3. Step 3: Cross multiply
    14,047,965x = 30,648,388.50 × 30,648,388.50
  4. Step 4: Simplify right side
    14,047,965x = 939,323,717,646,932.25
  5. Step 5: Solve for x
    x = 939,323,717,646,932.25/14,047,965
  6. Step 6: Final answer
    x = 66,865,465.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.