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Finding the Third Proportional to 3,116,713,643 and 6,856,762,425

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Solution

The third proportional to 3,116,713,643 and 6,856,762,425 is: 15,084,860,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,713,643 : 6,856,762,425 = 6,856,762,425 : x
  2. Step 2: Convert to fraction form
    3,116,713,643/6,856,762,425 = 6,856,762,425/x
  3. Step 3: Cross multiply
    3,116,713,643x = 6,856,762,425 × 6,856,762,425
  4. Step 4: Simplify right side
    3,116,713,643x = 47,015,190,952,891,883,520
  5. Step 5: Solve for x
    x = 47,015,190,952,891,883,520/3,116,713,643
  6. Step 6: Final answer
    x = 15,084,860,637.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.