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Finding the Third Proportional to 4,302,878,780 and 6,331,274,904

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Solution

The third proportional to 4,302,878,780 and 6,331,274,904 is: 9,315,865,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302,878,780 : 6,331,274,904 = 6,331,274,904 : x
  2. Step 2: Convert to fraction form
    4,302,878,780/6,331,274,904 = 6,331,274,904/x
  3. Step 3: Cross multiply
    4,302,878,780x = 6,331,274,904 × 6,331,274,904
  4. Step 4: Simplify right side
    4,302,878,780x = 40,085,041,910,020,210,688
  5. Step 5: Solve for x
    x = 40,085,041,910,020,210,688/4,302,878,780
  6. Step 6: Final answer
    x = 9,315,865,949.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.