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Finding the Third Proportional to 2,156,417,478 and 3,081,570,480

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Solution

The third proportional to 2,156,417,478 and 3,081,570,480 is: 4,403,635,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156,417,478 : 3,081,570,480 = 3,081,570,480 : x
  2. Step 2: Convert to fraction form
    2,156,417,478/3,081,570,480 = 3,081,570,480/x
  3. Step 3: Cross multiply
    2,156,417,478x = 3,081,570,480 × 3,081,570,480
  4. Step 4: Simplify right side
    2,156,417,478x = 9,496,076,623,207,430,144
  5. Step 5: Solve for x
    x = 9,496,076,623,207,430,144/2,156,417,478
  6. Step 6: Final answer
    x = 4,403,635,529.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.