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Finding the Third Proportional to 1,352,174,484 and 2,963,569,704

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Solution

The third proportional to 1,352,174,484 and 2,963,569,704 is: 6,495,275,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352,174,484 : 2,963,569,704 = 2,963,569,704 : x
  2. Step 2: Convert to fraction form
    1,352,174,484/2,963,569,704 = 2,963,569,704/x
  3. Step 3: Cross multiply
    1,352,174,484x = 2,963,569,704 × 2,963,569,704
  4. Step 4: Simplify right side
    1,352,174,484x = 8,782,745,390,466,648,064
  5. Step 5: Solve for x
    x = 8,782,745,390,466,648,064/1,352,174,484
  6. Step 6: Final answer
    x = 6,495,275,198.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.