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Finding the Third Proportional to 1,774,815,342 and 2,769,666,957

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Solution

The third proportional to 1,774,815,342 and 2,769,666,957 is: 4,322,170,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,815,342 : 2,769,666,957 = 2,769,666,957 : x
  2. Step 2: Convert to fraction form
    1,774,815,342/2,769,666,957 = 2,769,666,957/x
  3. Step 3: Cross multiply
    1,774,815,342x = 2,769,666,957 × 2,769,666,957
  4. Step 4: Simplify right side
    1,774,815,342x = 7,671,055,052,697,639,936
  5. Step 5: Solve for x
    x = 7,671,055,052,697,639,936/1,774,815,342
  6. Step 6: Final answer
    x = 4,322,170,803.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.