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Finding the Third Proportional to 1,952,746,752 and 4,278,560,707.13

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Solution

The third proportional to 1,952,746,752 and 4,278,560,707.13 is: 9,374,529,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,746,752 : 4,278,560,707.13 = 4,278,560,707.13 : x
  2. Step 2: Convert to fraction form
    1,952,746,752/4,278,560,707.13 = 4,278,560,707.13/x
  3. Step 3: Cross multiply
    1,952,746,752x = 4,278,560,707.13 × 4,278,560,707.13
  4. Step 4: Simplify right side
    1,952,746,752x = 18,306,081,724,553,979,904
  5. Step 5: Solve for x
    x = 18,306,081,724,553,979,904/1,952,746,752
  6. Step 6: Final answer
    x = 9,374,529,342.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.