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Finding the Third Proportional to 12,293,714 and 18,041,989.50

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Solution

The third proportional to 12,293,714 and 18,041,989.50 is: 26,478,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293,714 : 18,041,989.50 = 18,041,989.50 : x
  2. Step 2: Convert to fraction form
    12,293,714/18,041,989.50 = 18,041,989.50/x
  3. Step 3: Cross multiply
    12,293,714x = 18,041,989.50 × 18,041,989.50
  4. Step 4: Simplify right side
    12,293,714x = 325,513,385,118,110.25
  5. Step 5: Solve for x
    x = 325,513,385,118,110.25/12,293,714
  6. Step 6: Final answer
    x = 26,478,034.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.