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Finding the Third Proportional to 2,772,698,323 and 6,165,332,412

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Solution

The third proportional to 2,772,698,323 and 6,165,332,412 is: 13,709,145,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772,698,323 : 6,165,332,412 = 6,165,332,412 : x
  2. Step 2: Convert to fraction form
    2,772,698,323/6,165,332,412 = 6,165,332,412/x
  3. Step 3: Cross multiply
    2,772,698,323x = 6,165,332,412 × 6,165,332,412
  4. Step 4: Simplify right side
    2,772,698,323x = 38,011,323,750,457,737,216
  5. Step 5: Solve for x
    x = 38,011,323,750,457,737,216/2,772,698,323
  6. Step 6: Final answer
    x = 13,709,145,143.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.