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Finding the Third Proportional to 1,450,570,057,790 and 3,104,910,737,501

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Solution

The third proportional to 1,450,570,057,790 and 3,104,910,737,501 is: 6,645,987,648,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450,570,057,790 : 3,104,910,737,501 = 3,104,910,737,501 : x
  2. Step 2: Convert to fraction form
    1,450,570,057,790/3,104,910,737,501 = 3,104,910,737,501/x
  3. Step 3: Cross multiply
    1,450,570,057,790x = 3,104,910,737,501 × 3,104,910,737,501
  4. Step 4: Simplify right side
    1,450,570,057,790x = 9,640,470,687,849,003,444,338,688
  5. Step 5: Solve for x
    x = 9,640,470,687,849,003,444,338,688/1,450,570,057,790
  6. Step 6: Final answer
    x = 6,645,987,648,839.68

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