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Finding the Third Proportional to 462,373,544 and 634,038,924

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Solution

The third proportional to 462,373,544 and 634,038,924 is: 869,438,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,373,544 : 634,038,924 = 634,038,924 : x
  2. Step 2: Convert to fraction form
    462,373,544/634,038,924 = 634,038,924/x
  3. Step 3: Cross multiply
    462,373,544x = 634,038,924 × 634,038,924
  4. Step 4: Simplify right side
    462,373,544x = 402,005,357,147,077,760
  5. Step 5: Solve for x
    x = 402,005,357,147,077,760/462,373,544
  6. Step 6: Final answer
    x = 869,438,492.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.