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Finding the Third Proportional to 1,828,635,278 and 4,006,626,584

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Solution

The third proportional to 1,828,635,278 and 4,006,626,584 is: 8,778,708,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,635,278 : 4,006,626,584 = 4,006,626,584 : x
  2. Step 2: Convert to fraction form
    1,828,635,278/4,006,626,584 = 4,006,626,584/x
  3. Step 3: Cross multiply
    1,828,635,278x = 4,006,626,584 × 4,006,626,584
  4. Step 4: Simplify right side
    1,828,635,278x = 16,053,056,583,615,508,480
  5. Step 5: Solve for x
    x = 16,053,056,583,615,508,480/1,828,635,278
  6. Step 6: Final answer
    x = 8,778,708,787.23

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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.