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Finding the Third Proportional to 357,771,089 and 537,035,309

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Solution

The third proportional to 357,771,089 and 537,035,309 is: 806,121,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,771,089 : 537,035,309 = 537,035,309 : x
  2. Step 2: Convert to fraction form
    357,771,089/537,035,309 = 537,035,309/x
  3. Step 3: Cross multiply
    357,771,089x = 537,035,309 × 537,035,309
  4. Step 4: Simplify right side
    357,771,089x = 288,406,923,112,725,504
  5. Step 5: Solve for x
    x = 288,406,923,112,725,504/357,771,089
  6. Step 6: Final answer
    x = 806,121,377.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.