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Finding the Third Proportional to 484,343,808 and 1,033,265,352

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Solution

The third proportional to 484,343,808 and 1,033,265,352 is: 2,204,296,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,343,808 : 1,033,265,352 = 1,033,265,352 : x
  2. Step 2: Convert to fraction form
    484,343,808/1,033,265,352 = 1,033,265,352/x
  3. Step 3: Cross multiply
    484,343,808x = 1,033,265,352 × 1,033,265,352
  4. Step 4: Simplify right side
    484,343,808x = 1,067,637,287,643,683,840
  5. Step 5: Solve for x
    x = 1,067,637,287,643,683,840/484,343,808
  6. Step 6: Final answer
    x = 2,204,296,349.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.