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Finding the Third Proportional to 355,294,963 and 792,283,752

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Solution

The third proportional to 355,294,963 and 792,283,752 is: 1,766,739,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,294,963 : 792,283,752 = 792,283,752 : x
  2. Step 2: Convert to fraction form
    355,294,963/792,283,752 = 792,283,752/x
  3. Step 3: Cross multiply
    355,294,963x = 792,283,752 × 792,283,752
  4. Step 4: Simplify right side
    355,294,963x = 627,713,543,683,197,440
  5. Step 5: Solve for x
    x = 627,713,543,683,197,440/355,294,963
  6. Step 6: Final answer
    x = 1,766,739,214.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.