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Finding the Third Proportional to 683,223,576,323 and 1,422,997,152,850

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Solution

The third proportional to 683,223,576,323 and 1,422,997,152,850 is: 2,963,774,915,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,223,576,323 : 1,422,997,152,850 = 1,422,997,152,850 : x
  2. Step 2: Convert to fraction form
    683,223,576,323/1,422,997,152,850 = 1,422,997,152,850/x
  3. Step 3: Cross multiply
    683,223,576,323x = 1,422,997,152,850 × 1,422,997,152,850
  4. Step 4: Simplify right side
    683,223,576,323x = 2,024,920,897,019,206,357,221,376
  5. Step 5: Solve for x
    x = 2,024,920,897,019,206,357,221,376/683,223,576,323
  6. Step 6: Final answer
    x = 2,963,774,915,258.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.