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Finding the Third Proportional to 857,174,952 and 1,860,476,496

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Solution

The third proportional to 857,174,952 and 1,860,476,496 is: 4,038,117,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,174,952 : 1,860,476,496 = 1,860,476,496 : x
  2. Step 2: Convert to fraction form
    857,174,952/1,860,476,496 = 1,860,476,496/x
  3. Step 3: Cross multiply
    857,174,952x = 1,860,476,496 × 1,860,476,496
  4. Step 4: Simplify right side
    857,174,952x = 3,461,372,792,168,437,760
  5. Step 5: Solve for x
    x = 3,461,372,792,168,437,760/857,174,952
  6. Step 6: Final answer
    x = 4,038,117,054.27

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Why These Related Problems?

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