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Finding the Third Proportional to 413,899,159 and 649,286,545.50

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Solution

The third proportional to 413,899,159 and 649,286,545.50 is: 1,018,540,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,899,159 : 649,286,545.50 = 649,286,545.50 : x
  2. Step 2: Convert to fraction form
    413,899,159/649,286,545.50 = 649,286,545.50/x
  3. Step 3: Cross multiply
    413,899,159x = 649,286,545.50 × 649,286,545.50
  4. Step 4: Simplify right side
    413,899,159x = 421,573,018,167,323,584
  5. Step 5: Solve for x
    x = 421,573,018,167,323,584/413,899,159
  6. Step 6: Final answer
    x = 1,018,540,407.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.