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Finding the Third Proportional to 1,523,257,874 and 3,316,938,910

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Solution

The third proportional to 1,523,257,874 and 3,316,938,910 is: 7,222,732,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,257,874 : 3,316,938,910 = 3,316,938,910 : x
  2. Step 2: Convert to fraction form
    1,523,257,874/3,316,938,910 = 3,316,938,910/x
  3. Step 3: Cross multiply
    1,523,257,874x = 3,316,938,910 × 3,316,938,910
  4. Step 4: Simplify right side
    1,523,257,874x = 11,002,083,732,671,987,712
  5. Step 5: Solve for x
    x = 11,002,083,732,671,987,712/1,523,257,874
  6. Step 6: Final answer
    x = 7,222,732,224.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.