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Finding the Third Proportional to 55,525,994,898 and 84,590,012,403

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Solution

The third proportional to 55,525,994,898 and 84,590,012,403 is: 128,867,032,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,525,994,898 : 84,590,012,403 = 84,590,012,403 : x
  2. Step 2: Convert to fraction form
    55,525,994,898/84,590,012,403 = 84,590,012,403/x
  3. Step 3: Cross multiply
    55,525,994,898x = 84,590,012,403 × 84,590,012,403
  4. Step 4: Simplify right side
    55,525,994,898x = 7,155,470,198,339,694,231,552
  5. Step 5: Solve for x
    x = 7,155,470,198,339,694,231,552/55,525,994,898
  6. Step 6: Final answer
    x = 128,867,032,666.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.