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Finding the Third Proportional to 10,313,868,678 and 22,098,051,624

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Solution

The third proportional to 10,313,868,678 and 22,098,051,624 is: 47,346,335,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,868,678 : 22,098,051,624 = 22,098,051,624 : x
  2. Step 2: Convert to fraction form
    10,313,868,678/22,098,051,624 = 22,098,051,624/x
  3. Step 3: Cross multiply
    10,313,868,678x = 22,098,051,624 × 22,098,051,624
  4. Step 4: Simplify right side
    10,313,868,678x = 488,323,885,576,969,060,352
  5. Step 5: Solve for x
    x = 488,323,885,576,969,060,352/10,313,868,678
  6. Step 6: Final answer
    x = 47,346,335,388.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.