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Finding the Third Proportional to 1,656,302,350 and 3,545,272,340

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Solution

The third proportional to 1,656,302,350 and 3,545,272,340 is: 7,588,563,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,302,350 : 3,545,272,340 = 3,545,272,340 : x
  2. Step 2: Convert to fraction form
    1,656,302,350/3,545,272,340 = 3,545,272,340/x
  3. Step 3: Cross multiply
    1,656,302,350x = 3,545,272,340 × 3,545,272,340
  4. Step 4: Simplify right side
    1,656,302,350x = 12,568,955,964,769,075,200
  5. Step 5: Solve for x
    x = 12,568,955,964,769,075,200/1,656,302,350
  6. Step 6: Final answer
    x = 7,588,563,745.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.