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Finding the Third Proportional to 841,420,023,421.50 and 1,706,253,541,845

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Solution

The third proportional to 841,420,023,421.50 and 1,706,253,541,845 is: 3,459,985,581,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,420,023,421.50 : 1,706,253,541,845 = 1,706,253,541,845 : x
  2. Step 2: Convert to fraction form
    841,420,023,421.50/1,706,253,541,845 = 1,706,253,541,845/x
  3. Step 3: Cross multiply
    841,420,023,421.50x = 1,706,253,541,845 × 1,706,253,541,845
  4. Step 4: Simplify right side
    841,420,023,421.50x = 2,911,301,149,058,607,152,627,712
  5. Step 5: Solve for x
    x = 2,911,301,149,058,607,152,627,712/841,420,023,421.50
  6. Step 6: Final answer
    x = 3,459,985,581,541.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.