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Finding the Third Proportional to 2,030,467,468 and 2,739,577,358

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Solution

The third proportional to 2,030,467,468 and 2,739,577,358 is: 3,696,333,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,467,468 : 2,739,577,358 = 2,739,577,358 : x
  2. Step 2: Convert to fraction form
    2,030,467,468/2,739,577,358 = 2,739,577,358/x
  3. Step 3: Cross multiply
    2,030,467,468x = 2,739,577,358 × 2,739,577,358
  4. Step 4: Simplify right side
    2,030,467,468x = 7,505,284,100,466,259,968
  5. Step 5: Solve for x
    x = 7,505,284,100,466,259,968/2,030,467,468
  6. Step 6: Final answer
    x = 3,696,333,095.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.