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Finding the Third Proportional to 2,742,563,794 and 4,202,369,528

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Solution

The third proportional to 2,742,563,794 and 4,202,369,528 is: 6,439,197,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,563,794 : 4,202,369,528 = 4,202,369,528 : x
  2. Step 2: Convert to fraction form
    2,742,563,794/4,202,369,528 = 4,202,369,528/x
  3. Step 3: Cross multiply
    2,742,563,794x = 4,202,369,528 × 4,202,369,528
  4. Step 4: Simplify right side
    2,742,563,794x = 17,659,909,649,862,942,720
  5. Step 5: Solve for x
    x = 17,659,909,649,862,942,720/2,742,563,794
  6. Step 6: Final answer
    x = 6,439,197,399.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.