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Finding the Third Proportional to 1,970,280,660 and 4,283,509,152

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Solution

The third proportional to 1,970,280,660 and 4,283,509,152 is: 9,312,607,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,280,660 : 4,283,509,152 = 4,283,509,152 : x
  2. Step 2: Convert to fraction form
    1,970,280,660/4,283,509,152 = 4,283,509,152/x
  3. Step 3: Cross multiply
    1,970,280,660x = 4,283,509,152 × 4,283,509,152
  4. Step 4: Simplify right side
    1,970,280,660x = 18,348,450,655,267,758,080
  5. Step 5: Solve for x
    x = 18,348,450,655,267,758,080/1,970,280,660
  6. Step 6: Final answer
    x = 9,312,607,603.46

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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.