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Finding the Third Proportional to 782,123,139 and 1,698,767,307

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Solution

The third proportional to 782,123,139 and 1,698,767,307 is: 3,689,713,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,123,139 : 1,698,767,307 = 1,698,767,307 : x
  2. Step 2: Convert to fraction form
    782,123,139/1,698,767,307 = 1,698,767,307/x
  3. Step 3: Cross multiply
    782,123,139x = 1,698,767,307 × 1,698,767,307
  4. Step 4: Simplify right side
    782,123,139x = 2,885,810,363,332,032,000
  5. Step 5: Solve for x
    x = 2,885,810,363,332,032,000/782,123,139
  6. Step 6: Final answer
    x = 3,689,713,575.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.