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Finding the Third Proportional to 34,692,444,720 and 46,808,253,120

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Solution

The third proportional to 34,692,444,720 and 46,808,253,120 is: 63,155,323,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692,444,720 : 46,808,253,120 = 46,808,253,120 : x
  2. Step 2: Convert to fraction form
    34,692,444,720/46,808,253,120 = 46,808,253,120/x
  3. Step 3: Cross multiply
    34,692,444,720x = 46,808,253,120 × 46,808,253,120
  4. Step 4: Simplify right side
    34,692,444,720x = 2,191,012,560,145,989,763,072
  5. Step 5: Solve for x
    x = 2,191,012,560,145,989,763,072/34,692,444,720
  6. Step 6: Final answer
    x = 63,155,323,236.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.