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Finding the Third Proportional to 2,180,209,959 and 4,782,513,264

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Solution

The third proportional to 2,180,209,959 and 4,782,513,264 is: 10,490,931,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,209,959 : 4,782,513,264 = 4,782,513,264 : x
  2. Step 2: Convert to fraction form
    2,180,209,959/4,782,513,264 = 4,782,513,264/x
  3. Step 3: Cross multiply
    2,180,209,959x = 4,782,513,264 × 4,782,513,264
  4. Step 4: Simplify right side
    2,180,209,959x = 22,872,433,120,335,933,440
  5. Step 5: Solve for x
    x = 22,872,433,120,335,933,440/2,180,209,959
  6. Step 6: Final answer
    x = 10,490,931,401.32

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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.