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Finding the Third Proportional to 45,544,549,260 and 100,197,849,072

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Solution

The third proportional to 45,544,549,260 and 100,197,849,072 is: 220,434,917,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,544,549,260 : 100,197,849,072 = 100,197,849,072 : x
  2. Step 2: Convert to fraction form
    45,544,549,260/100,197,849,072 = 100,197,849,072/x
  3. Step 3: Cross multiply
    45,544,549,260x = 100,197,849,072 × 100,197,849,072
  4. Step 4: Simplify right side
    45,544,549,260x = 10,039,608,958,655,290,933,248
  5. Step 5: Solve for x
    x = 10,039,608,958,655,290,933,248/45,544,549,260
  6. Step 6: Final answer
    x = 220,434,917,498.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.