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Finding the Third Proportional to 890,106,964 and 1,805,368,712

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Solution

The third proportional to 890,106,964 and 1,805,368,712 is: 3,661,757,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,106,964 : 1,805,368,712 = 1,805,368,712 : x
  2. Step 2: Convert to fraction form
    890,106,964/1,805,368,712 = 1,805,368,712/x
  3. Step 3: Cross multiply
    890,106,964x = 1,805,368,712 × 1,805,368,712
  4. Step 4: Simplify right side
    890,106,964x = 3,259,356,186,268,538,880
  5. Step 5: Solve for x
    x = 3,259,356,186,268,538,880/890,106,964
  6. Step 6: Final answer
    x = 3,661,757,876.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.