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Finding the Third Proportional to 353,989,628,498 and 778,586,641,096

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Solution

The third proportional to 353,989,628,498 and 778,586,641,096 is: 1,712,471,521,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,989,628,498 : 778,586,641,096 = 778,586,641,096 : x
  2. Step 2: Convert to fraction form
    353,989,628,498/778,586,641,096 = 778,586,641,096/x
  3. Step 3: Cross multiply
    353,989,628,498x = 778,586,641,096 × 778,586,641,096
  4. Step 4: Simplify right side
    353,989,628,498x = 606,197,157,693,151,544,082,432
  5. Step 5: Solve for x
    x = 606,197,157,693,151,544,082,432/353,989,628,498
  6. Step 6: Final answer
    x = 1,712,471,521,454.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.