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Finding the Third Proportional to 857,174,966 and 1,860,476,524

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Solution

The third proportional to 857,174,966 and 1,860,476,524 is: 4,038,117,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,174,966 : 1,860,476,524 = 1,860,476,524 : x
  2. Step 2: Convert to fraction form
    857,174,966/1,860,476,524 = 1,860,476,524/x
  3. Step 3: Cross multiply
    857,174,966x = 1,860,476,524 × 1,860,476,524
  4. Step 4: Simplify right side
    857,174,966x = 3,461,372,896,355,122,688
  5. Step 5: Solve for x
    x = 3,461,372,896,355,122,688/857,174,966
  6. Step 6: Final answer
    x = 4,038,117,109.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.