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Finding the Third Proportional to 40,154,424,003 and 60,748,076,920.50

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Solution

The third proportional to 40,154,424,003 and 60,748,076,920.50 is: 91,903,418,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,154,424,003 : 60,748,076,920.50 = 60,748,076,920.50 : x
  2. Step 2: Convert to fraction form
    40,154,424,003/60,748,076,920.50 = 60,748,076,920.50/x
  3. Step 3: Cross multiply
    40,154,424,003x = 60,748,076,920.50 × 60,748,076,920.50
  4. Step 4: Simplify right side
    40,154,424,003x = 3,690,328,849,538,984,968,192
  5. Step 5: Solve for x
    x = 3,690,328,849,538,984,968,192/40,154,424,003
  6. Step 6: Final answer
    x = 91,903,418,892.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.