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Finding the Third Proportional to 1,491,701,028 and 2,340,038,709

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Solution

The third proportional to 1,491,701,028 and 2,340,038,709 is: 3,670,830,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,701,028 : 2,340,038,709 = 2,340,038,709 : x
  2. Step 2: Convert to fraction form
    1,491,701,028/2,340,038,709 = 2,340,038,709/x
  3. Step 3: Cross multiply
    1,491,701,028x = 2,340,038,709 × 2,340,038,709
  4. Step 4: Simplify right side
    1,491,701,028x = 5,475,781,159,618,386,944
  5. Step 5: Solve for x
    x = 5,475,781,159,618,386,944/1,491,701,028
  6. Step 6: Final answer
    x = 3,670,830,184.36

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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.