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Finding the Third Proportional to 360,370,997 and 786,798,142

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Solution

The third proportional to 360,370,997 and 786,798,142 is: 1,717,816,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,370,997 : 786,798,142 = 786,798,142 : x
  2. Step 2: Convert to fraction form
    360,370,997/786,798,142 = 786,798,142/x
  3. Step 3: Cross multiply
    360,370,997x = 786,798,142 × 786,798,142
  4. Step 4: Simplify right side
    360,370,997x = 619,051,316,254,652,160
  5. Step 5: Solve for x
    x = 619,051,316,254,652,160/360,370,997
  6. Step 6: Final answer
    x = 1,717,816,698.37

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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.