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Finding the Third Proportional to 475,264,416 and 756,239,136

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Solution

The third proportional to 475,264,416 and 756,239,136 is: 1,203,325,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,264,416 : 756,239,136 = 756,239,136 : x
  2. Step 2: Convert to fraction form
    475,264,416/756,239,136 = 756,239,136/x
  3. Step 3: Cross multiply
    475,264,416x = 756,239,136 × 756,239,136
  4. Step 4: Simplify right side
    475,264,416x = 571,897,630,818,026,496
  5. Step 5: Solve for x
    x = 571,897,630,818,026,496/475,264,416
  6. Step 6: Final answer
    x = 1,203,325,162.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.