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Finding the Third Proportional to 404,182,487,476 and 869,666,712,640

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Solution

The third proportional to 404,182,487,476 and 869,666,712,640 is: 1,871,234,441,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,182,487,476 : 869,666,712,640 = 869,666,712,640 : x
  2. Step 2: Convert to fraction form
    404,182,487,476/869,666,712,640 = 869,666,712,640/x
  3. Step 3: Cross multiply
    404,182,487,476x = 869,666,712,640 × 869,666,712,640
  4. Step 4: Simplify right side
    404,182,487,476x = 756,320,191,074,064,335,372,288
  5. Step 5: Solve for x
    x = 756,320,191,074,064,335,372,288/404,182,487,476
  6. Step 6: Final answer
    x = 1,871,234,441,148.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.