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Finding the Third Proportional to 649,693,228 and 1,402,936,290

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Solution

The third proportional to 649,693,228 and 1,402,936,290 is: 3,029,476,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,693,228 : 1,402,936,290 = 1,402,936,290 : x
  2. Step 2: Convert to fraction form
    649,693,228/1,402,936,290 = 1,402,936,290/x
  3. Step 3: Cross multiply
    649,693,228x = 1,402,936,290 × 1,402,936,290
  4. Step 4: Simplify right side
    649,693,228x = 1,968,230,233,798,964,224
  5. Step 5: Solve for x
    x = 1,968,230,233,798,964,224/649,693,228
  6. Step 6: Final answer
    x = 3,029,476,295.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.