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Finding the Third Proportional to 1,491,701,030 and 2,340,038,712

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Solution

The third proportional to 1,491,701,030 and 2,340,038,712 is: 3,670,830,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,701,030 : 2,340,038,712 = 2,340,038,712 : x
  2. Step 2: Convert to fraction form
    1,491,701,030/2,340,038,712 = 2,340,038,712/x
  3. Step 3: Cross multiply
    1,491,701,030x = 2,340,038,712 × 2,340,038,712
  4. Step 4: Simplify right side
    1,491,701,030x = 5,475,781,173,658,618,880
  5. Step 5: Solve for x
    x = 5,475,781,173,658,618,880/1,491,701,030
  6. Step 6: Final answer
    x = 3,670,830,188.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.