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Finding the Third Proportional to 376,035,432 and 824,712,168

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Solution

The third proportional to 376,035,432 and 824,712,168 is: 1,808,739,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,035,432 : 824,712,168 = 824,712,168 : x
  2. Step 2: Convert to fraction form
    376,035,432/824,712,168 = 824,712,168/x
  3. Step 3: Cross multiply
    376,035,432x = 824,712,168 × 824,712,168
  4. Step 4: Simplify right side
    376,035,432x = 680,150,160,047,260,160
  5. Step 5: Solve for x
    x = 680,150,160,047,260,160/376,035,432
  6. Step 6: Final answer
    x = 1,808,739,555.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.