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Finding the Third Proportional to 2,212,169,778 and 4,739,875,074

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Solution

The third proportional to 2,212,169,778 and 4,739,875,074 is: 10,155,827,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212,169,778 : 4,739,875,074 = 4,739,875,074 : x
  2. Step 2: Convert to fraction form
    2,212,169,778/4,739,875,074 = 4,739,875,074/x
  3. Step 3: Cross multiply
    2,212,169,778x = 4,739,875,074 × 4,739,875,074
  4. Step 4: Simplify right side
    2,212,169,778x = 22,466,415,717,126,504,448
  5. Step 5: Solve for x
    x = 22,466,415,717,126,504,448/2,212,169,778
  6. Step 6: Final answer
    x = 10,155,827,975.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.