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Finding the Third Proportional to 315,791,300 and 473,686,950

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Solution

The third proportional to 315,791,300 and 473,686,950 is: 710,530,425

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,791,300 : 473,686,950 = 473,686,950 : x
  2. Step 2: Convert to fraction form
    315,791,300/473,686,950 = 473,686,950/x
  3. Step 3: Cross multiply
    315,791,300x = 473,686,950 × 473,686,950
  4. Step 4: Simplify right side
    315,791,300x = 224,379,326,600,302,496
  5. Step 5: Solve for x
    x = 224,379,326,600,302,496/315,791,300
  6. Step 6: Final answer
    x = 710,530,425

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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.