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Finding the Third Proportional to 52,430,994 and 81,406,971

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Solution

The third proportional to 52,430,994 and 81,406,971 is: 126,396,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,430,994 : 81,406,971 = 81,406,971 : x
  2. Step 2: Convert to fraction form
    52,430,994/81,406,971 = 81,406,971/x
  3. Step 3: Cross multiply
    52,430,994x = 81,406,971 × 81,406,971
  4. Step 4: Simplify right side
    52,430,994x = 6,627,094,927,394,841
  5. Step 5: Solve for x
    x = 6,627,094,927,394,841/52,430,994
  6. Step 6: Final answer
    x = 126,396,515.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.