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Finding the Third Proportional to 2,473,113,926 and 5,333,637,406

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Solution

The third proportional to 2,473,113,926 and 5,333,637,406 is: 11,502,781,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,113,926 : 5,333,637,406 = 5,333,637,406 : x
  2. Step 2: Convert to fraction form
    2,473,113,926/5,333,637,406 = 5,333,637,406/x
  3. Step 3: Cross multiply
    2,473,113,926x = 5,333,637,406 × 5,333,637,406
  4. Step 4: Simplify right side
    2,473,113,926x = 28,447,687,978,682,408,960
  5. Step 5: Solve for x
    x = 28,447,687,978,682,408,960/2,473,113,926
  6. Step 6: Final answer
    x = 11,502,781,040.38

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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.