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Finding the Third Proportional to 8,198,683,626,834 and 17,075,967,455,028

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Solution

The third proportional to 8,198,683,626,834 and 17,075,967,455,028 is: 35,565,302,650,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198,683,626,834 : 17,075,967,455,028 = 17,075,967,455,028 : x
  2. Step 2: Convert to fraction form
    8,198,683,626,834/17,075,967,455,028 = 17,075,967,455,028/x
  3. Step 3: Cross multiply
    8,198,683,626,834x = 17,075,967,455,028 × 17,075,967,455,028
  4. Step 4: Simplify right side
    8,198,683,626,834x = 291,588,664,525,175,426,044,133,376
  5. Step 5: Solve for x
    x = 291,588,664,525,175,426,044,133,376/8,198,683,626,834
  6. Step 6: Final answer
    x = 35,565,302,650,637.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.