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Finding the Third Proportional to 2,729,086,461 and 4,192,210,653

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Solution

The third proportional to 2,729,086,461 and 4,192,210,653 is: 6,439,748,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729,086,461 : 4,192,210,653 = 4,192,210,653 : x
  2. Step 2: Convert to fraction form
    2,729,086,461/4,192,210,653 = 4,192,210,653/x
  3. Step 3: Cross multiply
    2,729,086,461x = 4,192,210,653 × 4,192,210,653
  4. Step 4: Simplify right side
    2,729,086,461x = 17,574,630,159,126,685,696
  5. Step 5: Solve for x
    x = 17,574,630,159,126,685,696/2,729,086,461
  6. Step 6: Final answer
    x = 6,439,748,395.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.