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Finding the Third Proportional to 977,463,186,388 and 2,104,313,175,243

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Solution

The third proportional to 977,463,186,388 and 2,104,313,175,243 is: 4,530,230,909,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,463,186,388 : 2,104,313,175,243 = 2,104,313,175,243 : x
  2. Step 2: Convert to fraction form
    977,463,186,388/2,104,313,175,243 = 2,104,313,175,243/x
  3. Step 3: Cross multiply
    977,463,186,388x = 2,104,313,175,243 × 2,104,313,175,243
  4. Step 4: Simplify right side
    977,463,186,388x = 4,428,133,939,501,276,596,273,152
  5. Step 5: Solve for x
    x = 4,428,133,939,501,276,596,273,152/977,463,186,388
  6. Step 6: Final answer
    x = 4,530,230,909,119.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.