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Finding the Third Proportional to 1,905,374,559 and 4,127,363,397

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Solution

The third proportional to 1,905,374,559 and 4,127,363,397 is: 8,940,566,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,374,559 : 4,127,363,397 = 4,127,363,397 : x
  2. Step 2: Convert to fraction form
    1,905,374,559/4,127,363,397 = 4,127,363,397/x
  3. Step 3: Cross multiply
    1,905,374,559x = 4,127,363,397 × 4,127,363,397
  4. Step 4: Simplify right side
    1,905,374,559x = 17,035,128,610,895,380,480
  5. Step 5: Solve for x
    x = 17,035,128,610,895,380,480/1,905,374,559
  6. Step 6: Final answer
    x = 8,940,566,845.73

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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.