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Finding the Third Proportional to 692,973,588 and 1,540,885,151

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Solution

The third proportional to 692,973,588 and 1,540,885,151 is: 3,426,287,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,973,588 : 1,540,885,151 = 1,540,885,151 : x
  2. Step 2: Convert to fraction form
    692,973,588/1,540,885,151 = 1,540,885,151/x
  3. Step 3: Cross multiply
    692,973,588x = 1,540,885,151 × 1,540,885,151
  4. Step 4: Simplify right side
    692,973,588x = 2,374,327,048,572,292,608
  5. Step 5: Solve for x
    x = 2,374,327,048,572,292,608/692,973,588
  6. Step 6: Final answer
    x = 3,426,287,941.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.