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Finding the Third Proportional to 554,156,688 and 1,204,767,264

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Solution

The third proportional to 554,156,688 and 1,204,767,264 is: 2,619,230,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,156,688 : 1,204,767,264 = 1,204,767,264 : x
  2. Step 2: Convert to fraction form
    554,156,688/1,204,767,264 = 1,204,767,264/x
  3. Step 3: Cross multiply
    554,156,688x = 1,204,767,264 × 1,204,767,264
  4. Step 4: Simplify right side
    554,156,688x = 1,451,464,160,406,045,696
  5. Step 5: Solve for x
    x = 1,451,464,160,406,045,696/554,156,688
  6. Step 6: Final answer
    x = 2,619,230,610.83

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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.