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Finding the Third Proportional to 448,806,763,264 and 987,373,786,688

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Solution

The third proportional to 448,806,763,264 and 987,373,786,688 is: 2,172,219,927,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,806,763,264 : 987,373,786,688 = 987,373,786,688 : x
  2. Step 2: Convert to fraction form
    448,806,763,264/987,373,786,688 = 987,373,786,688/x
  3. Step 3: Cross multiply
    448,806,763,264x = 987,373,786,688 × 987,373,786,688
  4. Step 4: Simplify right side
    448,806,763,264x = 974,906,994,638,600,175,353,856
  5. Step 5: Solve for x
    x = 974,906,994,638,600,175,353,856/448,806,763,264
  6. Step 6: Final answer
    x = 2,172,219,927,232.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.