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Finding the Third Proportional to 1,714,348,407 and 3,720,949,134

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Solution

The third proportional to 1,714,348,407 and 3,720,949,134 is: 8,076,224,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,348,407 : 3,720,949,134 = 3,720,949,134 : x
  2. Step 2: Convert to fraction form
    1,714,348,407/3,720,949,134 = 3,720,949,134/x
  3. Step 3: Cross multiply
    1,714,348,407x = 3,720,949,134 × 3,720,949,134
  4. Step 4: Simplify right side
    1,714,348,407x = 13,845,462,457,815,349,248
  5. Step 5: Solve for x
    x = 13,845,462,457,815,349,248/1,714,348,407
  6. Step 6: Final answer
    x = 8,076,224,413.47

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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.