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Finding the Third Proportional to 40,154,424,006 and 60,748,076,925

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Solution

The third proportional to 40,154,424,006 and 60,748,076,925 is: 91,903,418,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,154,424,006 : 60,748,076,925 = 60,748,076,925 : x
  2. Step 2: Convert to fraction form
    40,154,424,006/60,748,076,925 = 60,748,076,925/x
  3. Step 3: Cross multiply
    40,154,424,006x = 60,748,076,925 × 60,748,076,925
  4. Step 4: Simplify right side
    40,154,424,006x = 3,690,328,850,085,717,213,184
  5. Step 5: Solve for x
    x = 3,690,328,850,085,717,213,184/40,154,424,006
  6. Step 6: Final answer
    x = 91,903,418,899.35

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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.