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Finding the Third Proportional to 360,371,014 and 786,798,176

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Solution

The third proportional to 360,371,014 and 786,798,176 is: 1,717,816,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,371,014 : 786,798,176 = 786,798,176 : x
  2. Step 2: Convert to fraction form
    360,371,014/786,798,176 = 786,798,176/x
  3. Step 3: Cross multiply
    360,371,014x = 786,798,176 × 786,798,176
  4. Step 4: Simplify right side
    360,371,014x = 619,051,369,756,926,976
  5. Step 5: Solve for x
    x = 619,051,369,756,926,976/360,371,014
  6. Step 6: Final answer
    x = 1,717,816,765.80

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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.