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Finding the Third Proportional to 338,403,300 and 742,127,916

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Solution

The third proportional to 338,403,300 and 742,127,916 is: 1,627,507,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,403,300 : 742,127,916 = 742,127,916 : x
  2. Step 2: Convert to fraction form
    338,403,300/742,127,916 = 742,127,916/x
  3. Step 3: Cross multiply
    338,403,300x = 742,127,916 × 742,127,916
  4. Step 4: Simplify right side
    338,403,300x = 550,753,843,706,503,040
  5. Step 5: Solve for x
    x = 550,753,843,706,503,040/338,403,300
  6. Step 6: Final answer
    x = 1,627,507,307.72

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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.