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Finding the Third Proportional to 961,055,004,828 and 1,308,792,875,898

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Solution

The third proportional to 961,055,004,828 and 1,308,792,875,898 is: 1,782,352,501,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,055,004,828 : 1,308,792,875,898 = 1,308,792,875,898 : x
  2. Step 2: Convert to fraction form
    961,055,004,828/1,308,792,875,898 = 1,308,792,875,898/x
  3. Step 3: Cross multiply
    961,055,004,828x = 1,308,792,875,898 × 1,308,792,875,898
  4. Step 4: Simplify right side
    961,055,004,828x = 1,712,938,792,001,357,603,667,968
  5. Step 5: Solve for x
    x = 1,712,938,792,001,357,603,667,968/961,055,004,828
  6. Step 6: Final answer
    x = 1,782,352,501,569.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.