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Finding the Third Proportional to 653,282,929 and 998,671,105

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Solution

The third proportional to 653,282,929 and 998,671,105 is: 1,526,664,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,282,929 : 998,671,105 = 998,671,105 : x
  2. Step 2: Convert to fraction form
    653,282,929/998,671,105 = 998,671,105/x
  3. Step 3: Cross multiply
    653,282,929x = 998,671,105 × 998,671,105
  4. Step 4: Simplify right side
    653,282,929x = 997,343,975,961,921,024
  5. Step 5: Solve for x
    x = 997,343,975,961,921,024/653,282,929
  6. Step 6: Final answer
    x = 1,526,664,683.38

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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.