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Finding the Third Proportional to 673,709,239.75 and 1,466,050,329.75

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Solution

The third proportional to 673,709,239.75 and 1,466,050,329.75 is: 3,190,253,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,709,239.75 : 1,466,050,329.75 = 1,466,050,329.75 : x
  2. Step 2: Convert to fraction form
    673,709,239.75/1,466,050,329.75 = 1,466,050,329.75/x
  3. Step 3: Cross multiply
    673,709,239.75x = 1,466,050,329.75 × 1,466,050,329.75
  4. Step 4: Simplify right side
    673,709,239.75x = 2,149,303,569,360,083,712
  5. Step 5: Solve for x
    x = 2,149,303,569,360,083,712/673,709,239.75
  6. Step 6: Final answer
    x = 3,190,253,959.05

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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.