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Finding the Third Proportional to 478,277,468 and 994,726,348

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Solution

The third proportional to 478,277,468 and 994,726,348 is: 2,068,841,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,277,468 : 994,726,348 = 994,726,348 : x
  2. Step 2: Convert to fraction form
    478,277,468/994,726,348 = 994,726,348/x
  3. Step 3: Cross multiply
    478,277,468x = 994,726,348 × 994,726,348
  4. Step 4: Simplify right side
    478,277,468x = 989,480,507,405,417,088
  5. Step 5: Solve for x
    x = 989,480,507,405,417,088/478,277,468
  6. Step 6: Final answer
    x = 2,068,841,987.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.