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Finding the Third Proportional to 2,423,659,260 and 3,684,356,886

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Solution

The third proportional to 2,423,659,260 and 3,684,356,886 is: 5,600,822,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423,659,260 : 3,684,356,886 = 3,684,356,886 : x
  2. Step 2: Convert to fraction form
    2,423,659,260/3,684,356,886 = 3,684,356,886/x
  3. Step 3: Cross multiply
    2,423,659,260x = 3,684,356,886 × 3,684,356,886
  4. Step 4: Simplify right side
    2,423,659,260x = 13,574,485,663,415,617,536
  5. Step 5: Solve for x
    x = 13,574,485,663,415,617,536/2,423,659,260
  6. Step 6: Final answer
    x = 5,600,822,643.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.