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Finding the Third Proportional to 2,169,724,146 and 4,709,331,228

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Solution

The third proportional to 2,169,724,146 and 4,709,331,228 is: 10,221,483,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,724,146 : 4,709,331,228 = 4,709,331,228 : x
  2. Step 2: Convert to fraction form
    2,169,724,146/4,709,331,228 = 4,709,331,228/x
  3. Step 3: Cross multiply
    2,169,724,146x = 4,709,331,228 × 4,709,331,228
  4. Step 4: Simplify right side
    2,169,724,146x = 22,177,800,615,015,989,248
  5. Step 5: Solve for x
    x = 22,177,800,615,015,989,248/2,169,724,146
  6. Step 6: Final answer
    x = 10,221,483,987.22

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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.