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Finding the Third Proportional to 216,537,641 and 511,006,851

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Solution

The third proportional to 216,537,641 and 511,006,851 is: 1,205,924,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,537,641 : 511,006,851 = 511,006,851 : x
  2. Step 2: Convert to fraction form
    216,537,641/511,006,851 = 511,006,851/x
  3. Step 3: Cross multiply
    216,537,641x = 511,006,851 × 511,006,851
  4. Step 4: Simplify right side
    216,537,641x = 261,128,001,768,936,192
  5. Step 5: Solve for x
    x = 261,128,001,768,936,192/216,537,641
  6. Step 6: Final answer
    x = 1,205,924,293.64

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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.