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Finding the Third Proportional to 857,174,970 and 1,860,476,532

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Solution

The third proportional to 857,174,970 and 1,860,476,532 is: 4,038,117,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,174,970 : 1,860,476,532 = 1,860,476,532 : x
  2. Step 2: Convert to fraction form
    857,174,970/1,860,476,532 = 1,860,476,532/x
  3. Step 3: Cross multiply
    857,174,970x = 1,860,476,532 × 1,860,476,532
  4. Step 4: Simplify right side
    857,174,970x = 3,461,372,926,122,746,880
  5. Step 5: Solve for x
    x = 3,461,372,926,122,746,880/857,174,970
  6. Step 6: Final answer
    x = 4,038,117,125.75

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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.