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Finding the Third Proportional to 1,648,745,490 and 3,555,763,976

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Solution

The third proportional to 1,648,745,490 and 3,555,763,976 is: 7,668,531,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,745,490 : 3,555,763,976 = 3,555,763,976 : x
  2. Step 2: Convert to fraction form
    1,648,745,490/3,555,763,976 = 3,555,763,976/x
  3. Step 3: Cross multiply
    1,648,745,490x = 3,555,763,976 × 3,555,763,976
  4. Step 4: Simplify right side
    1,648,745,490x = 12,643,457,453,019,328,512
  5. Step 5: Solve for x
    x = 12,643,457,453,019,328,512/1,648,745,490
  6. Step 6: Final answer
    x = 7,668,531,941.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.