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Finding the Third Proportional to 1,887,367,143 and 2,831,050,957.50

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Solution

The third proportional to 1,887,367,143 and 2,831,050,957.50 is: 4,246,576,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887,367,143 : 2,831,050,957.50 = 2,831,050,957.50 : x
  2. Step 2: Convert to fraction form
    1,887,367,143/2,831,050,957.50 = 2,831,050,957.50/x
  3. Step 3: Cross multiply
    1,887,367,143x = 2,831,050,957.50 × 2,831,050,957.50
  4. Step 4: Simplify right side
    1,887,367,143x = 8,014,849,523,961,666,560
  5. Step 5: Solve for x
    x = 8,014,849,523,961,666,560/1,887,367,143
  6. Step 6: Final answer
    x = 4,246,576,800.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.