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Finding the Third Proportional to 1,084,866,968 and 2,354,675,647

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Solution

The third proportional to 1,084,866,968 and 2,354,675,647 is: 5,110,762,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,866,968 : 2,354,675,647 = 2,354,675,647 : x
  2. Step 2: Convert to fraction form
    1,084,866,968/2,354,675,647 = 2,354,675,647/x
  3. Step 3: Cross multiply
    1,084,866,968x = 2,354,675,647 × 2,354,675,647
  4. Step 4: Simplify right side
    1,084,866,968x = 5,544,497,402,574,868,480
  5. Step 5: Solve for x
    x = 5,544,497,402,574,868,480/1,084,866,968
  6. Step 6: Final answer
    x = 5,110,762,486.20

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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.