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Finding the Third Proportional to 2,268,952,038 and 4,935,448,188

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Solution

The third proportional to 2,268,952,038 and 4,935,448,188 is: 10,735,638,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268,952,038 : 4,935,448,188 = 4,935,448,188 : x
  2. Step 2: Convert to fraction form
    2,268,952,038/4,935,448,188 = 4,935,448,188/x
  3. Step 3: Cross multiply
    2,268,952,038x = 4,935,448,188 × 4,935,448,188
  4. Step 4: Simplify right side
    2,268,952,038x = 24,358,648,816,432,484,352
  5. Step 5: Solve for x
    x = 24,358,648,816,432,484,352/2,268,952,038
  6. Step 6: Final answer
    x = 10,735,638,483.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.