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Finding the Third Proportional to 4,492,450,468 and 9,608,068,982

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Solution

The third proportional to 4,492,450,468 and 9,608,068,982 is: 20,548,916,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492,450,468 : 9,608,068,982 = 9,608,068,982 : x
  2. Step 2: Convert to fraction form
    4,492,450,468/9,608,068,982 = 9,608,068,982/x
  3. Step 3: Cross multiply
    4,492,450,468x = 9,608,068,982 × 9,608,068,982
  4. Step 4: Simplify right side
    4,492,450,468x = 92,314,989,562,870,513,664
  5. Step 5: Solve for x
    x = 92,314,989,562,870,513,664/4,492,450,468
  6. Step 6: Final answer
    x = 20,548,916,503.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.