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Finding the Third Proportional to 853,490,089,577 and 1,843,011,697,374

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Solution

The third proportional to 853,490,089,577 and 1,843,011,697,374 is: 3,979,767,496,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,490,089,577 : 1,843,011,697,374 = 1,843,011,697,374 : x
  2. Step 2: Convert to fraction form
    853,490,089,577/1,843,011,697,374 = 1,843,011,697,374/x
  3. Step 3: Cross multiply
    853,490,089,577x = 1,843,011,697,374 × 1,843,011,697,374
  4. Step 4: Simplify right side
    853,490,089,577x = 3,396,692,116,657,392,412,786,688
  5. Step 5: Solve for x
    x = 3,396,692,116,657,392,412,786,688/853,490,089,577
  6. Step 6: Final answer
    x = 3,979,767,496,000.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.