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Finding the Third Proportional to 24,340,290,944 and 52,870,625,933

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Solution

The third proportional to 24,340,290,944 and 52,870,625,933 is: 114,842,632,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340,290,944 : 52,870,625,933 = 52,870,625,933 : x
  2. Step 2: Convert to fraction form
    24,340,290,944/52,870,625,933 = 52,870,625,933/x
  3. Step 3: Cross multiply
    24,340,290,944x = 52,870,625,933 × 52,870,625,933
  4. Step 4: Simplify right side
    24,340,290,944x = 2,795,303,086,547,211,911,168
  5. Step 5: Solve for x
    x = 2,795,303,086,547,211,911,168/24,340,290,944
  6. Step 6: Final answer
    x = 114,842,632,447.51

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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.