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Finding the Third Proportional to 1,931,561,099 and 4,184,011,282

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Solution

The third proportional to 1,931,561,099 and 4,184,011,282 is: 9,063,109,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,561,099 : 4,184,011,282 = 4,184,011,282 : x
  2. Step 2: Convert to fraction form
    1,931,561,099/4,184,011,282 = 4,184,011,282/x
  3. Step 3: Cross multiply
    1,931,561,099x = 4,184,011,282 × 4,184,011,282
  4. Step 4: Simplify right side
    1,931,561,099x = 17,505,950,407,903,283,200
  5. Step 5: Solve for x
    x = 17,505,950,407,903,283,200/1,931,561,099
  6. Step 6: Final answer
    x = 9,063,109,842.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.