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Finding the Third Proportional to 290,908,633,785 and 679,693,831,911

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Solution

The third proportional to 290,908,633,785 and 679,693,831,911 is: 1,588,071,481,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,908,633,785 : 679,693,831,911 = 679,693,831,911 : x
  2. Step 2: Convert to fraction form
    290,908,633,785/679,693,831,911 = 679,693,831,911/x
  3. Step 3: Cross multiply
    290,908,633,785x = 679,693,831,911 × 679,693,831,911
  4. Step 4: Simplify right side
    290,908,633,785x = 461,983,705,137,858,689,892,352
  5. Step 5: Solve for x
    x = 461,983,705,137,858,689,892,352/290,908,633,785
  6. Step 6: Final answer
    x = 1,588,071,481,849.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.