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Finding the Third Proportional to 9,945,464,193,388 and 21,642,201,423,502

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Solution

The third proportional to 9,945,464,193,388 and 21,642,201,423,502 is: 47,095,326,406,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,464,193,388 : 21,642,201,423,502 = 21,642,201,423,502 : x
  2. Step 2: Convert to fraction form
    9,945,464,193,388/21,642,201,423,502 = 21,642,201,423,502/x
  3. Step 3: Cross multiply
    9,945,464,193,388x = 21,642,201,423,502 × 21,642,201,423,502
  4. Step 4: Simplify right side
    9,945,464,193,388x = 468,384,882,455,432,014,262,697,984
  5. Step 5: Solve for x
    x = 468,384,882,455,432,014,262,697,984/9,945,464,193,388
  6. Step 6: Final answer
    x = 47,095,326,406,868.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.