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Finding the Third Proportional to 1,590,940,114 and 3,457,284,761

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Solution

The third proportional to 1,590,940,114 and 3,457,284,761 is: 7,513,053,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,940,114 : 3,457,284,761 = 3,457,284,761 : x
  2. Step 2: Convert to fraction form
    1,590,940,114/3,457,284,761 = 3,457,284,761/x
  3. Step 3: Cross multiply
    1,590,940,114x = 3,457,284,761 × 3,457,284,761
  4. Step 4: Simplify right side
    1,590,940,114x = 11,952,817,918,642,827,264
  5. Step 5: Solve for x
    x = 11,952,817,918,642,827,264/1,590,940,114
  6. Step 6: Final answer
    x = 7,513,053,328.32

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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.