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Finding the Third Proportional to 386,943,437,231.40 and 841,822,592,516.30

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Solution

The third proportional to 386,943,437,231.40 and 841,822,592,516.30 is: 1,831,444,105,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,943,437,231.40 : 841,822,592,516.30 = 841,822,592,516.30 : x
  2. Step 2: Convert to fraction form
    386,943,437,231.40/841,822,592,516.30 = 841,822,592,516.30/x
  3. Step 3: Cross multiply
    386,943,437,231.40x = 841,822,592,516.30 × 841,822,592,516.30
  4. Step 4: Simplify right side
    386,943,437,231.40x = 708,665,277,270,864,527,622,144
  5. Step 5: Solve for x
    x = 708,665,277,270,864,527,622,144/386,943,437,231.40
  6. Step 6: Final answer
    x = 1,831,444,105,478.05

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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.