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Finding the Third Proportional to 360,371,004 and 786,798,138

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Solution

The third proportional to 360,371,004 and 786,798,138 is: 1,717,816,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,371,004 : 786,798,138 = 786,798,138 : x
  2. Step 2: Convert to fraction form
    360,371,004/786,798,138 = 786,798,138/x
  3. Step 3: Cross multiply
    360,371,004x = 786,798,138 × 786,798,138
  4. Step 4: Simplify right side
    360,371,004x = 619,051,309,960,267,008
  5. Step 5: Solve for x
    x = 619,051,309,960,267,008/360,371,004
  6. Step 6: Final answer
    x = 1,717,816,647.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.