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Finding the Third Proportional to 770,071,938 and 1,681,257,828

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Solution

The third proportional to 770,071,938 and 1,681,257,828 is: 3,670,602,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,071,938 : 1,681,257,828 = 1,681,257,828 : x
  2. Step 2: Convert to fraction form
    770,071,938/1,681,257,828 = 1,681,257,828/x
  3. Step 3: Cross multiply
    770,071,938x = 1,681,257,828 × 1,681,257,828
  4. Step 4: Simplify right side
    770,071,938x = 2,826,627,884,211,277,824
  5. Step 5: Solve for x
    x = 2,826,627,884,211,277,824/770,071,938
  6. Step 6: Final answer
    x = 3,670,602,374.57

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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.