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Finding the Third Proportional to 387,645,944 and 850,611,350

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Solution

The third proportional to 387,645,944 and 850,611,350 is: 1,866,496,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,645,944 : 850,611,350 = 850,611,350 : x
  2. Step 2: Convert to fraction form
    387,645,944/850,611,350 = 850,611,350/x
  3. Step 3: Cross multiply
    387,645,944x = 850,611,350 × 850,611,350
  4. Step 4: Simplify right side
    387,645,944x = 723,539,668,748,822,528
  5. Step 5: Solve for x
    x = 723,539,668,748,822,528/387,645,944
  6. Step 6: Final answer
    x = 1,866,496,167.31

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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.