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Finding the Third Proportional to 14,802,076,268 and 32,316,599,650

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Solution

The third proportional to 14,802,076,268 and 32,316,599,650 is: 70,555,143,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802,076,268 : 32,316,599,650 = 32,316,599,650 : x
  2. Step 2: Convert to fraction form
    14,802,076,268/32,316,599,650 = 32,316,599,650/x
  3. Step 3: Cross multiply
    14,802,076,268x = 32,316,599,650 × 32,316,599,650
  4. Step 4: Simplify right side
    14,802,076,268x = 1,044,362,612,938,380,148,736
  5. Step 5: Solve for x
    x = 1,044,362,612,938,380,148,736/14,802,076,268
  6. Step 6: Final answer
    x = 70,555,143,348.11

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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.