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Finding the Third Proportional to 2,124,858,558 and 4,548,209,239

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Solution

The third proportional to 2,124,858,558 and 4,548,209,239 is: 9,735,333,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124,858,558 : 4,548,209,239 = 4,548,209,239 : x
  2. Step 2: Convert to fraction form
    2,124,858,558/4,548,209,239 = 4,548,209,239/x
  3. Step 3: Cross multiply
    2,124,858,558x = 4,548,209,239 × 4,548,209,239
  4. Step 4: Simplify right side
    2,124,858,558x = 20,686,207,281,724,960,768
  5. Step 5: Solve for x
    x = 20,686,207,281,724,960,768/2,124,858,558
  6. Step 6: Final answer
    x = 9,735,333,772.61

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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.