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Finding the Third Proportional to 1,071,773,203 and 2,321,641,946

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Solution

The third proportional to 1,071,773,203 and 2,321,641,946 is: 5,029,068,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,773,203 : 2,321,641,946 = 2,321,641,946 : x
  2. Step 2: Convert to fraction form
    1,071,773,203/2,321,641,946 = 2,321,641,946/x
  3. Step 3: Cross multiply
    1,071,773,203x = 2,321,641,946 × 2,321,641,946
  4. Step 4: Simplify right side
    1,071,773,203x = 5,390,021,325,426,666,496
  5. Step 5: Solve for x
    x = 5,390,021,325,426,666,496/1,071,773,203
  6. Step 6: Final answer
    x = 5,029,068,939.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.