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Finding the Third Proportional to 658,142,271,210 and 1,334,790,004,391

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Solution

The third proportional to 658,142,271,210 and 1,334,790,004,391 is: 2,707,111,264,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,142,271,210 : 1,334,790,004,391 = 1,334,790,004,391 : x
  2. Step 2: Convert to fraction form
    658,142,271,210/1,334,790,004,391 = 1,334,790,004,391/x
  3. Step 3: Cross multiply
    658,142,271,210x = 1,334,790,004,391 × 1,334,790,004,391
  4. Step 4: Simplify right side
    658,142,271,210x = 1,781,664,355,822,125,832,994,816
  5. Step 5: Solve for x
    x = 1,781,664,355,822,125,832,994,816/658,142,271,210
  6. Step 6: Final answer
    x = 2,707,111,264,174.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.