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Finding the Third Proportional to 51,168,562 and 83,544,798

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Solution

The third proportional to 51,168,562 and 83,544,798 is: 136,406,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,168,562 : 83,544,798 = 83,544,798 : x
  2. Step 2: Convert to fraction form
    51,168,562/83,544,798 = 83,544,798/x
  3. Step 3: Cross multiply
    51,168,562x = 83,544,798 × 83,544,798
  4. Step 4: Simplify right side
    51,168,562x = 6,979,733,272,860,804
  5. Step 5: Solve for x
    x = 6,979,733,272,860,804/51,168,562
  6. Step 6: Final answer
    x = 136,406,672.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.