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Finding the Third Proportional to 216,537,643 and 511,006,856

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Solution

The third proportional to 216,537,643 and 511,006,856 is: 1,205,924,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,537,643 : 511,006,856 = 511,006,856 : x
  2. Step 2: Convert to fraction form
    216,537,643/511,006,856 = 511,006,856/x
  3. Step 3: Cross multiply
    216,537,643x = 511,006,856 × 511,006,856
  4. Step 4: Simplify right side
    216,537,643x = 261,128,006,879,004,736
  5. Step 5: Solve for x
    x = 261,128,006,879,004,736/216,537,643
  6. Step 6: Final answer
    x = 1,205,924,306.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.