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Finding the Third Proportional to 711,510,602 and 1,541,785,348

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Solution

The third proportional to 711,510,602 and 1,541,785,348 is: 3,340,922,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,510,602 : 1,541,785,348 = 1,541,785,348 : x
  2. Step 2: Convert to fraction form
    711,510,602/1,541,785,348 = 1,541,785,348/x
  3. Step 3: Cross multiply
    711,510,602x = 1,541,785,348 × 1,541,785,348
  4. Step 4: Simplify right side
    711,510,602x = 2,377,102,059,307,481,088
  5. Step 5: Solve for x
    x = 2,377,102,059,307,481,088/711,510,602
  6. Step 6: Final answer
    x = 3,340,922,893.67

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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.