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Finding the Third Proportional to 1,309,208,763.50 and 1,961,898,038

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Solution

The third proportional to 1,309,208,763.50 and 1,961,898,038 is: 2,939,977,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,208,763.50 : 1,961,898,038 = 1,961,898,038 : x
  2. Step 2: Convert to fraction form
    1,309,208,763.50/1,961,898,038 = 1,961,898,038/x
  3. Step 3: Cross multiply
    1,309,208,763.50x = 1,961,898,038 × 1,961,898,038
  4. Step 4: Simplify right side
    1,309,208,763.50x = 3,849,043,911,508,249,600
  5. Step 5: Solve for x
    x = 3,849,043,911,508,249,600/1,309,208,763.50
  6. Step 6: Final answer
    x = 2,939,977,197.54

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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.