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Finding the Third Proportional to 357,475,536 and 546,610,464

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Solution

The third proportional to 357,475,536 and 546,610,464 is: 835,813,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,475,536 : 546,610,464 = 546,610,464 : x
  2. Step 2: Convert to fraction form
    357,475,536/546,610,464 = 546,610,464/x
  3. Step 3: Cross multiply
    357,475,536x = 546,610,464 × 546,610,464
  4. Step 4: Simplify right side
    357,475,536x = 298,782,999,354,295,296
  5. Step 5: Solve for x
    x = 298,782,999,354,295,296/357,475,536
  6. Step 6: Final answer
    x = 835,813,836.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.