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Finding the Third Proportional to 4,195,602,178 and 6,291,862,639

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Solution

The third proportional to 4,195,602,178 and 6,291,862,639 is: 9,435,483,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195,602,178 : 6,291,862,639 = 6,291,862,639 : x
  2. Step 2: Convert to fraction form
    4,195,602,178/6,291,862,639 = 6,291,862,639/x
  3. Step 3: Cross multiply
    4,195,602,178x = 6,291,862,639 × 6,291,862,639
  4. Step 4: Simplify right side
    4,195,602,178x = 39,587,535,468,044,042,240
  5. Step 5: Solve for x
    x = 39,587,535,468,044,042,240/4,195,602,178
  6. Step 6: Final answer
    x = 9,435,483,582.22

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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.