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Finding the Third Proportional to 1,429,030,917 and 3,095,522,548.50

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Solution

The third proportional to 1,429,030,917 and 3,095,522,548.50 is: 6,705,425,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,030,917 : 3,095,522,548.50 = 3,095,522,548.50 : x
  2. Step 2: Convert to fraction form
    1,429,030,917/3,095,522,548.50 = 3,095,522,548.50/x
  3. Step 3: Cross multiply
    1,429,030,917x = 3,095,522,548.50 × 3,095,522,548.50
  4. Step 4: Simplify right side
    1,429,030,917x = 9,582,259,848,271,935,488
  5. Step 5: Solve for x
    x = 9,582,259,848,271,935,488/1,429,030,917
  6. Step 6: Final answer
    x = 6,705,425,148.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.