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Finding the Third Proportional to 983,185,940 and 2,106,609,822

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Solution

The third proportional to 983,185,940 and 2,106,609,822 is: 4,513,698,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,185,940 : 2,106,609,822 = 2,106,609,822 : x
  2. Step 2: Convert to fraction form
    983,185,940/2,106,609,822 = 2,106,609,822/x
  3. Step 3: Cross multiply
    983,185,940x = 2,106,609,822 × 2,106,609,822
  4. Step 4: Simplify right side
    983,185,940x = 4,437,804,942,146,871,808
  5. Step 5: Solve for x
    x = 4,437,804,942,146,871,808/983,185,940
  6. Step 6: Final answer
    x = 4,513,698,540.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.