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Finding the Third Proportional to 52,060,284,323 and 73,312,352,301

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Solution

The third proportional to 52,060,284,323 and 73,312,352,301 is: 103,239,947,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,060,284,323 : 73,312,352,301 = 73,312,352,301 : x
  2. Step 2: Convert to fraction form
    52,060,284,323/73,312,352,301 = 73,312,352,301/x
  3. Step 3: Cross multiply
    52,060,284,323x = 73,312,352,301 × 73,312,352,301
  4. Step 4: Simplify right side
    52,060,284,323x = 5,374,700,999,905,940,340,736
  5. Step 5: Solve for x
    x = 5,374,700,999,905,940,340,736/52,060,284,323
  6. Step 6: Final answer
    x = 103,239,947,107.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.