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Finding the Third Proportional to 808,670,066 and 1,746,458,020

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Solution

The third proportional to 808,670,066 and 1,746,458,020 is: 3,771,767,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,670,066 : 1,746,458,020 = 1,746,458,020 : x
  2. Step 2: Convert to fraction form
    808,670,066/1,746,458,020 = 1,746,458,020/x
  3. Step 3: Cross multiply
    808,670,066x = 1,746,458,020 × 1,746,458,020
  4. Step 4: Simplify right side
    808,670,066x = 3,050,115,615,622,320,640
  5. Step 5: Solve for x
    x = 3,050,115,615,622,320,640/808,670,066
  6. Step 6: Final answer
    x = 3,771,767,676.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.