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Finding the Third Proportional to 469,253,271 and 689,514,372

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Solution

The third proportional to 469,253,271 and 689,514,372 is: 1,013,163,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,253,271 : 689,514,372 = 689,514,372 : x
  2. Step 2: Convert to fraction form
    469,253,271/689,514,372 = 689,514,372/x
  3. Step 3: Cross multiply
    469,253,271x = 689,514,372 × 689,514,372
  4. Step 4: Simplify right side
    469,253,271x = 475,430,069,194,554,368
  5. Step 5: Solve for x
    x = 475,430,069,194,554,368/469,253,271
  6. Step 6: Final answer
    x = 1,013,163,037.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.