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Finding the Third Proportional to 1,719,799,924 and 3,511,785,320

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Solution

The third proportional to 1,719,799,924 and 3,511,785,320 is: 7,170,971,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719,799,924 : 3,511,785,320 = 3,511,785,320 : x
  2. Step 2: Convert to fraction form
    1,719,799,924/3,511,785,320 = 3,511,785,320/x
  3. Step 3: Cross multiply
    1,719,799,924x = 3,511,785,320 × 3,511,785,320
  4. Step 4: Simplify right side
    1,719,799,924x = 12,332,636,133,767,501,824
  5. Step 5: Solve for x
    x = 12,332,636,133,767,501,824/1,719,799,924
  6. Step 6: Final answer
    x = 7,170,971,437.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.