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Finding the Third Proportional to 3,035,206,358 and 7,026,065,153

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Solution

The third proportional to 3,035,206,358 and 7,026,065,153 is: 16,264,327,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,206,358 : 7,026,065,153 = 7,026,065,153 : x
  2. Step 2: Convert to fraction form
    3,035,206,358/7,026,065,153 = 7,026,065,153/x
  3. Step 3: Cross multiply
    3,035,206,358x = 7,026,065,153 × 7,026,065,153
  4. Step 4: Simplify right side
    3,035,206,358x = 49,365,591,534,200,913,920
  5. Step 5: Solve for x
    x = 49,365,591,534,200,913,920/3,035,206,358
  6. Step 6: Final answer
    x = 16,264,327,927.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.