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Finding the Third Proportional to 4,195,602,184 and 6,291,862,648

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Solution

The third proportional to 4,195,602,184 and 6,291,862,648 is: 9,435,483,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195,602,184 : 6,291,862,648 = 6,291,862,648 : x
  2. Step 2: Convert to fraction form
    4,195,602,184/6,291,862,648 = 6,291,862,648/x
  3. Step 3: Cross multiply
    4,195,602,184x = 6,291,862,648 × 6,291,862,648
  4. Step 4: Simplify right side
    4,195,602,184x = 39,587,535,581,297,573,888
  5. Step 5: Solve for x
    x = 39,587,535,581,297,573,888/4,195,602,184
  6. Step 6: Final answer
    x = 9,435,483,595.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.