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Finding the Third Proportional to 2,314,027,371 and 3,525,181,611

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Solution

The third proportional to 2,314,027,371 and 3,525,181,611 is: 5,370,249,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,027,371 : 3,525,181,611 = 3,525,181,611 : x
  2. Step 2: Convert to fraction form
    2,314,027,371/3,525,181,611 = 3,525,181,611/x
  3. Step 3: Cross multiply
    2,314,027,371x = 3,525,181,611 × 3,525,181,611
  4. Step 4: Simplify right side
    2,314,027,371x = 12,426,905,390,532,554,752
  5. Step 5: Solve for x
    x = 12,426,905,390,532,554,752/2,314,027,371
  6. Step 6: Final answer
    x = 5,370,249,957.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.