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Finding the Third Proportional to 423,382,104 and 911,637,432

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Solution

The third proportional to 423,382,104 and 911,637,432 is: 1,962,961,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,382,104 : 911,637,432 = 911,637,432 : x
  2. Step 2: Convert to fraction form
    423,382,104/911,637,432 = 911,637,432/x
  3. Step 3: Cross multiply
    423,382,104x = 911,637,432 × 911,637,432
  4. Step 4: Simplify right side
    423,382,104x = 831,082,807,423,554,560
  5. Step 5: Solve for x
    x = 831,082,807,423,554,560/423,382,104
  6. Step 6: Final answer
    x = 1,962,961,588.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.