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Finding the Third Proportional to 1,064,305,071 and 2,275,696,089

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Solution

The third proportional to 1,064,305,071 and 2,275,696,089 is: 4,865,891,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,305,071 : 2,275,696,089 = 2,275,696,089 : x
  2. Step 2: Convert to fraction form
    1,064,305,071/2,275,696,089 = 2,275,696,089/x
  3. Step 3: Cross multiply
    1,064,305,071x = 2,275,696,089 × 2,275,696,089
  4. Step 4: Simplify right side
    1,064,305,071x = 5,178,792,689,489,895,424
  5. Step 5: Solve for x
    x = 5,178,792,689,489,895,424/1,064,305,071
  6. Step 6: Final answer
    x = 4,865,891,209.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.