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Finding the Third Proportional to 2,413,793,343 and 5,212,218,749

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Solution

The third proportional to 2,413,793,343 and 5,212,218,749 is: 11,254,991,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,793,343 : 5,212,218,749 = 5,212,218,749 : x
  2. Step 2: Convert to fraction form
    2,413,793,343/5,212,218,749 = 5,212,218,749/x
  3. Step 3: Cross multiply
    2,413,793,343x = 5,212,218,749 × 5,212,218,749
  4. Step 4: Simplify right side
    2,413,793,343x = 27,167,224,287,427,125,248
  5. Step 5: Solve for x
    x = 27,167,224,287,427,125,248/2,413,793,343
  6. Step 6: Final answer
    x = 11,254,991,802.10

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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.