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Finding the Third Proportional to 70,103,685 and 162,277,336

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Solution

The third proportional to 70,103,685 and 162,277,336 is: 375,642,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,103,685 : 162,277,336 = 162,277,336 : x
  2. Step 2: Convert to fraction form
    70,103,685/162,277,336 = 162,277,336/x
  3. Step 3: Cross multiply
    70,103,685x = 162,277,336 × 162,277,336
  4. Step 4: Simplify right side
    70,103,685x = 26,333,933,779,256,896
  5. Step 5: Solve for x
    x = 26,333,933,779,256,896/70,103,685
  6. Step 6: Final answer
    x = 375,642,646.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.