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Finding the Third Proportional to 10,621,730,952 and 23,165,747,388

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Solution

The third proportional to 10,621,730,952 and 23,165,747,388 is: 50,523,954,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621,730,952 : 23,165,747,388 = 23,165,747,388 : x
  2. Step 2: Convert to fraction form
    10,621,730,952/23,165,747,388 = 23,165,747,388/x
  3. Step 3: Cross multiply
    10,621,730,952x = 23,165,747,388 × 23,165,747,388
  4. Step 4: Simplify right side
    10,621,730,952x = 536,651,852,044,628,852,736
  5. Step 5: Solve for x
    x = 536,651,852,044,628,852,736/10,621,730,952
  6. Step 6: Final answer
    x = 50,523,954,567.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.