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Finding the Third Proportional to 5,621,538,758 and 12,210,805,332

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Solution

The third proportional to 5,621,538,758 and 12,210,805,332 is: 26,523,657,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621,538,758 : 12,210,805,332 = 12,210,805,332 : x
  2. Step 2: Convert to fraction form
    5,621,538,758/12,210,805,332 = 12,210,805,332/x
  3. Step 3: Cross multiply
    5,621,538,758x = 12,210,805,332 × 12,210,805,332
  4. Step 4: Simplify right side
    5,621,538,758x = 149,103,766,855,999,619,072
  5. Step 5: Solve for x
    x = 149,103,766,855,999,619,072/5,621,538,758
  6. Step 6: Final answer
    x = 26,523,657,182.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.