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Finding the Third Proportional to 425,121,081,467 and 936,895,380,707

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Solution

The third proportional to 425,121,081,467 and 936,895,380,707 is: 2,064,759,882,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,121,081,467 : 936,895,380,707 = 936,895,380,707 : x
  2. Step 2: Convert to fraction form
    425,121,081,467/936,895,380,707 = 936,895,380,707/x
  3. Step 3: Cross multiply
    425,121,081,467x = 936,895,380,707 × 936,895,380,707
  4. Step 4: Simplify right side
    425,121,081,467x = 877,772,954,390,114,439,528,448
  5. Step 5: Solve for x
    x = 877,772,954,390,114,439,528,448/425,121,081,467
  6. Step 6: Final answer
    x = 2,064,759,882,904.68

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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.