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Finding the Third Proportional to 35,083,434,420 and 75,758,559,840

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Solution

The third proportional to 35,083,434,420 and 75,758,559,840 is: 163,591,720,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083,434,420 : 75,758,559,840 = 75,758,559,840 : x
  2. Step 2: Convert to fraction form
    35,083,434,420/75,758,559,840 = 75,758,559,840/x
  3. Step 3: Cross multiply
    35,083,434,420x = 75,758,559,840 × 75,758,559,840
  4. Step 4: Simplify right side
    35,083,434,420x = 5,739,359,389,030,860,980,224
  5. Step 5: Solve for x
    x = 5,739,359,389,030,860,980,224/35,083,434,420
  6. Step 6: Final answer
    x = 163,591,720,249.57

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