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Finding the Third Proportional to 1,590,940,116 and 3,457,284,765

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Solution

The third proportional to 1,590,940,116 and 3,457,284,765 is: 7,513,053,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,940,116 : 3,457,284,765 = 3,457,284,765 : x
  2. Step 2: Convert to fraction form
    1,590,940,116/3,457,284,765 = 3,457,284,765/x
  3. Step 3: Cross multiply
    1,590,940,116x = 3,457,284,765 × 3,457,284,765
  4. Step 4: Simplify right side
    1,590,940,116x = 11,952,817,946,301,106,176
  5. Step 5: Solve for x
    x = 11,952,817,946,301,106,176/1,590,940,116
  6. Step 6: Final answer
    x = 7,513,053,336.26

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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.