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Finding the Third Proportional to 773,886,874,453.50 and 1,683,645,185,013.90

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Solution

The third proportional to 773,886,874,453.50 and 1,683,645,185,013.90 is: 3,662,888,210,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,886,874,453.50 : 1,683,645,185,013.90 = 1,683,645,185,013.90 : x
  2. Step 2: Convert to fraction form
    773,886,874,453.50/1,683,645,185,013.90 = 1,683,645,185,013.90/x
  3. Step 3: Cross multiply
    773,886,874,453.50x = 1,683,645,185,013.90 × 1,683,645,185,013.90
  4. Step 4: Simplify right side
    773,886,874,453.50x = 2,834,661,109,020,489,058,091,008
  5. Step 5: Solve for x
    x = 2,834,661,109,020,489,058,091,008/773,886,874,453.50
  6. Step 6: Final answer
    x = 3,662,888,210,918.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.