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Finding the Third Proportional to 4,526,378,507 and 9,894,226,486

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Solution

The third proportional to 4,526,378,507 and 9,894,226,486 is: 21,627,824,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526,378,507 : 9,894,226,486 = 9,894,226,486 : x
  2. Step 2: Convert to fraction form
    4,526,378,507/9,894,226,486 = 9,894,226,486/x
  3. Step 3: Cross multiply
    4,526,378,507x = 9,894,226,486 × 9,894,226,486
  4. Step 4: Simplify right side
    4,526,378,507x = 97,895,717,756,263,907,328
  5. Step 5: Solve for x
    x = 97,895,717,756,263,907,328/4,526,378,507
  6. Step 6: Final answer
    x = 21,627,824,010.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.