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Finding the Third Proportional to 216,537,636 and 511,006,840.50

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Solution

The third proportional to 216,537,636 and 511,006,840.50 is: 1,205,924,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,537,636 : 511,006,840.50 = 511,006,840.50 : x
  2. Step 2: Convert to fraction form
    216,537,636/511,006,840.50 = 511,006,840.50/x
  3. Step 3: Cross multiply
    216,537,636x = 511,006,840.50 × 511,006,840.50
  4. Step 4: Simplify right side
    216,537,636x = 261,127,991,037,792,448
  5. Step 5: Solve for x
    x = 261,127,991,037,792,448/216,537,636
  6. Step 6: Final answer
    x = 1,205,924,271.93

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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.