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Finding the Third Proportional to 1,652,977,049 and 3,596,507,740.50

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Solution

The third proportional to 1,652,977,049 and 3,596,507,740.50 is: 7,825,195,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652,977,049 : 3,596,507,740.50 = 3,596,507,740.50 : x
  2. Step 2: Convert to fraction form
    1,652,977,049/3,596,507,740.50 = 3,596,507,740.50/x
  3. Step 3: Cross multiply
    1,652,977,049x = 3,596,507,740.50 × 3,596,507,740.50
  4. Step 4: Simplify right side
    1,652,977,049x = 12,934,867,927,476,414,464
  5. Step 5: Solve for x
    x = 12,934,867,927,476,414,464/1,652,977,049
  6. Step 6: Final answer
    x = 7,825,195,114.05

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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.