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Finding the Third Proportional to 4,268,683,000 and 9,249,824,498

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Solution

The third proportional to 4,268,683,000 and 9,249,824,498 is: 20,043,477,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268,683,000 : 9,249,824,498 = 9,249,824,498 : x
  2. Step 2: Convert to fraction form
    4,268,683,000/9,249,824,498 = 9,249,824,498/x
  3. Step 3: Cross multiply
    4,268,683,000x = 9,249,824,498 × 9,249,824,498
  4. Step 4: Simplify right side
    4,268,683,000x = 85,559,253,243,800,944,640
  5. Step 5: Solve for x
    x = 85,559,253,243,800,944,640/4,268,683,000
  6. Step 6: Final answer
    x = 20,043,477,869.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.