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Finding the Third Proportional to 1,714,349,942 and 3,720,953,068

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Solution

The third proportional to 1,714,349,942 and 3,720,953,068 is: 8,076,234,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,349,942 : 3,720,953,068 = 3,720,953,068 : x
  2. Step 2: Convert to fraction form
    1,714,349,942/3,720,953,068 = 3,720,953,068/x
  3. Step 3: Cross multiply
    1,714,349,942x = 3,720,953,068 × 3,720,953,068
  4. Step 4: Simplify right side
    1,714,349,942x = 13,845,491,734,258,612,224
  5. Step 5: Solve for x
    x = 13,845,491,734,258,612,224/1,714,349,942
  6. Step 6: Final answer
    x = 8,076,234,259.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.