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Finding the Third Proportional to 5,700,922 and 12,298,646

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Solution

The third proportional to 5,700,922 and 12,298,646 is: 26,531,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700,922 : 12,298,646 = 12,298,646 : x
  2. Step 2: Convert to fraction form
    5,700,922/12,298,646 = 12,298,646/x
  3. Step 3: Cross multiply
    5,700,922x = 12,298,646 × 12,298,646
  4. Step 4: Simplify right side
    5,700,922x = 151,256,693,433,316
  5. Step 5: Solve for x
    x = 151,256,693,433,316/5,700,922
  6. Step 6: Final answer
    x = 26,531,970.34

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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.