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Finding the Third Proportional to 233,214,368 and 510,361,405

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Solution

The third proportional to 233,214,368 and 510,361,405 is: 1,116,864,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,368 : 510,361,405 = 510,361,405 : x
  2. Step 2: Convert to fraction form
    233,214,368/510,361,405 = 510,361,405/x
  3. Step 3: Cross multiply
    233,214,368x = 510,361,405 × 510,361,405
  4. Step 4: Simplify right side
    233,214,368x = 260,468,763,713,574,016
  5. Step 5: Solve for x
    x = 260,468,763,713,574,016/233,214,368
  6. Step 6: Final answer
    x = 1,116,864,136.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.