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Finding the Third Proportional to 649,400,592 and 1,417,836,516

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Solution

The third proportional to 649,400,592 and 1,417,836,516 is: 3,095,562,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,400,592 : 1,417,836,516 = 1,417,836,516 : x
  2. Step 2: Convert to fraction form
    649,400,592/1,417,836,516 = 1,417,836,516/x
  3. Step 3: Cross multiply
    649,400,592x = 1,417,836,516 × 1,417,836,516
  4. Step 4: Simplify right side
    649,400,592x = 2,010,260,386,103,018,240
  5. Step 5: Solve for x
    x = 2,010,260,386,103,018,240/649,400,592
  6. Step 6: Final answer
    x = 3,095,562,909.65

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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.