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Finding the Third Proportional to 51,446,646 and 113,256,390

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Solution

The third proportional to 51,446,646 and 113,256,390 is: 249,326,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,446,646 : 113,256,390 = 113,256,390 : x
  2. Step 2: Convert to fraction form
    51,446,646/113,256,390 = 113,256,390/x
  3. Step 3: Cross multiply
    51,446,646x = 113,256,390 × 113,256,390
  4. Step 4: Simplify right side
    51,446,646x = 12,827,009,875,832,100
  5. Step 5: Solve for x
    x = 12,827,009,875,832,100/51,446,646
  6. Step 6: Final answer
    x = 249,326,455.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.