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Finding the Third Proportional to 332,778,018 and 519,312,811.50

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Solution

The third proportional to 332,778,018 and 519,312,811.50 is: 810,407,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,778,018 : 519,312,811.50 = 519,312,811.50 : x
  2. Step 2: Convert to fraction form
    332,778,018/519,312,811.50 = 519,312,811.50/x
  3. Step 3: Cross multiply
    332,778,018x = 519,312,811.50 × 519,312,811.50
  4. Step 4: Simplify right side
    332,778,018x = 269,685,796,188,034,528
  5. Step 5: Solve for x
    x = 269,685,796,188,034,528/332,778,018
  6. Step 6: Final answer
    x = 810,407,483.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.