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Finding the Third Proportional to 23,565,757,776 and 35,314,164,726

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Solution

The third proportional to 23,565,757,776 and 35,314,164,726 is: 52,919,589,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565,757,776 : 35,314,164,726 = 35,314,164,726 : x
  2. Step 2: Convert to fraction form
    23,565,757,776/35,314,164,726 = 35,314,164,726/x
  3. Step 3: Cross multiply
    23,565,757,776x = 35,314,164,726 × 35,314,164,726
  4. Step 4: Simplify right side
    23,565,757,776x = 1,247,090,230,295,062,642,688
  5. Step 5: Solve for x
    x = 1,247,090,230,295,062,642,688/23,565,757,776
  6. Step 6: Final answer
    x = 52,919,589,607.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.