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Finding the Third Proportional to 653,282,926.88 and 998,671,101.75

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Solution

The third proportional to 653,282,926.88 and 998,671,101.75 is: 1,526,664,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,282,926.88 : 998,671,101.75 = 998,671,101.75 : x
  2. Step 2: Convert to fraction form
    653,282,926.88/998,671,101.75 = 998,671,101.75/x
  3. Step 3: Cross multiply
    653,282,926.88x = 998,671,101.75 × 998,671,101.75
  4. Step 4: Simplify right side
    653,282,926.88x = 997,343,969,470,558,848
  5. Step 5: Solve for x
    x = 997,343,969,470,558,848/653,282,926.88
  6. Step 6: Final answer
    x = 1,526,664,678.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.