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Finding the Third Proportional to 3,628,507,699,476 and 7,774,572,472,668

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Solution

The third proportional to 3,628,507,699,476 and 7,774,572,472,668 is: 16,658,081,541,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628,507,699,476 : 7,774,572,472,668 = 7,774,572,472,668 : x
  2. Step 2: Convert to fraction form
    3,628,507,699,476/7,774,572,472,668 = 7,774,572,472,668/x
  3. Step 3: Cross multiply
    3,628,507,699,476x = 7,774,572,472,668 × 7,774,572,472,668
  4. Step 4: Simplify right side
    3,628,507,699,476x = 60,443,977,132,767,017,709,862,912
  5. Step 5: Solve for x
    x = 60,443,977,132,767,017,709,862,912/3,628,507,699,476
  6. Step 6: Final answer
    x = 16,658,081,541,757.75

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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.