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Finding the Third Proportional to 653,118,751 and 1,410,134,502

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Solution

The third proportional to 653,118,751 and 1,410,134,502 is: 3,044,590,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,118,751 : 1,410,134,502 = 1,410,134,502 : x
  2. Step 2: Convert to fraction form
    653,118,751/1,410,134,502 = 1,410,134,502/x
  3. Step 3: Cross multiply
    653,118,751x = 1,410,134,502 × 1,410,134,502
  4. Step 4: Simplify right side
    653,118,751x = 1,988,479,313,730,788,096
  5. Step 5: Solve for x
    x = 1,988,479,313,730,788,096/653,118,751
  6. Step 6: Final answer
    x = 3,044,590,758.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.