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Finding the Third Proportional to 3,870,341,334 and 5,976,607,354

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Solution

The third proportional to 3,870,341,334 and 5,976,607,354 is: 9,229,117,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870,341,334 : 5,976,607,354 = 5,976,607,354 : x
  2. Step 2: Convert to fraction form
    3,870,341,334/5,976,607,354 = 5,976,607,354/x
  3. Step 3: Cross multiply
    3,870,341,334x = 5,976,607,354 × 5,976,607,354
  4. Step 4: Simplify right side
    3,870,341,334x = 35,719,835,463,886,880,768
  5. Step 5: Solve for x
    x = 35,719,835,463,886,880,768/3,870,341,334
  6. Step 6: Final answer
    x = 9,229,117,636.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.