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Finding the Third Proportional to 632,689,955,698 and 1,386,253,683,097

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Solution

The third proportional to 632,689,955,698 and 1,386,253,683,097 is: 3,037,347,529,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,689,955,698 : 1,386,253,683,097 = 1,386,253,683,097 : x
  2. Step 2: Convert to fraction form
    632,689,955,698/1,386,253,683,097 = 1,386,253,683,097/x
  3. Step 3: Cross multiply
    632,689,955,698x = 1,386,253,683,097 × 1,386,253,683,097
  4. Step 4: Simplify right side
    632,689,955,698x = 1,921,699,273,899,997,707,370,496
  5. Step 5: Solve for x
    x = 1,921,699,273,899,997,707,370,496/632,689,955,698
  6. Step 6: Final answer
    x = 3,037,347,529,533.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.