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Finding the Third Proportional to 357,051,478 and 551,495,441

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Solution

The third proportional to 357,051,478 and 551,495,441 is: 851,830,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,051,478 : 551,495,441 = 551,495,441 : x
  2. Step 2: Convert to fraction form
    357,051,478/551,495,441 = 551,495,441/x
  3. Step 3: Cross multiply
    357,051,478x = 551,495,441 × 551,495,441
  4. Step 4: Simplify right side
    357,051,478x = 304,147,221,443,784,512
  5. Step 5: Solve for x
    x = 304,147,221,443,784,512/357,051,478
  6. Step 6: Final answer
    x = 851,830,170.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.