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Finding the Third Proportional to 818,280,730 and 1,794,984,823.50

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Solution

The third proportional to 818,280,730 and 1,794,984,823.50 is: 3,937,487,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,280,730 : 1,794,984,823.50 = 1,794,984,823.50 : x
  2. Step 2: Convert to fraction form
    818,280,730/1,794,984,823.50 = 1,794,984,823.50/x
  3. Step 3: Cross multiply
    818,280,730x = 1,794,984,823.50 × 1,794,984,823.50
  4. Step 4: Simplify right side
    818,280,730x = 3,221,970,516,595,325,952
  5. Step 5: Solve for x
    x = 3,221,970,516,595,325,952/818,280,730
  6. Step 6: Final answer
    x = 3,937,487,953.06

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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.