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Finding the Third Proportional to 480,388,968 and 1,048,864,464

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Solution

The third proportional to 480,388,968 and 1,048,864,464 is: 2,290,053,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,388,968 : 1,048,864,464 = 1,048,864,464 : x
  2. Step 2: Convert to fraction form
    480,388,968/1,048,864,464 = 1,048,864,464/x
  3. Step 3: Cross multiply
    480,388,968x = 1,048,864,464 × 1,048,864,464
  4. Step 4: Simplify right side
    480,388,968x = 1,100,116,663,842,007,296
  5. Step 5: Solve for x
    x = 1,100,116,663,842,007,296/480,388,968
  6. Step 6: Final answer
    x = 2,290,053,971.10

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