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Finding the Third Proportional to 480,388,949 and 1,048,864,427

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Solution

The third proportional to 480,388,949 and 1,048,864,427 is: 2,290,053,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,388,949 : 1,048,864,427 = 1,048,864,427 : x
  2. Step 2: Convert to fraction form
    480,388,949/1,048,864,427 = 1,048,864,427/x
  3. Step 3: Cross multiply
    480,388,949x = 1,048,864,427 × 1,048,864,427
  4. Step 4: Simplify right side
    480,388,949x = 1,100,116,586,226,038,272
  5. Step 5: Solve for x
    x = 1,100,116,586,226,038,272/480,388,949
  6. Step 6: Final answer
    x = 2,290,053,900.11

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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.