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Finding the Third Proportional to 382,111,570 and 829,098,308

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Solution

The third proportional to 382,111,570 and 829,098,308 is: 1,798,961,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,111,570 : 829,098,308 = 829,098,308 : x
  2. Step 2: Convert to fraction form
    382,111,570/829,098,308 = 829,098,308/x
  3. Step 3: Cross multiply
    382,111,570x = 829,098,308 × 829,098,308
  4. Step 4: Simplify right side
    382,111,570x = 687,404,004,328,462,848
  5. Step 5: Solve for x
    x = 687,404,004,328,462,848/382,111,570
  6. Step 6: Final answer
    x = 1,798,961,503.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.