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Finding the Third Proportional to 2,707,366,605,074 and 4,095,870,351,771

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Solution

The third proportional to 2,707,366,605,074 and 4,095,870,351,771 is: 6,196,484,032,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,366,605,074 : 4,095,870,351,771 = 4,095,870,351,771 : x
  2. Step 2: Convert to fraction form
    2,707,366,605,074/4,095,870,351,771 = 4,095,870,351,771/x
  3. Step 3: Cross multiply
    2,707,366,605,074x = 4,095,870,351,771 × 4,095,870,351,771
  4. Step 4: Simplify right side
    2,707,366,605,074x = 16,776,153,938,516,694,513,221,632
  5. Step 5: Solve for x
    x = 16,776,153,938,516,694,513,221,632/2,707,366,605,074
  6. Step 6: Final answer
    x = 6,196,484,032,519.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.