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Finding the Third Proportional to 390,011,744,048 and 549,222,478,716

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Solution

The third proportional to 390,011,744,048 and 549,222,478,716 is: 773,426,276,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,011,744,048 : 549,222,478,716 = 549,222,478,716 : x
  2. Step 2: Convert to fraction form
    390,011,744,048/549,222,478,716 = 549,222,478,716/x
  3. Step 3: Cross multiply
    390,011,744,048x = 549,222,478,716 × 549,222,478,716
  4. Step 4: Simplify right side
    390,011,744,048x = 301,645,331,126,947,057,500,160
  5. Step 5: Solve for x
    x = 301,645,331,126,947,057,500,160/390,011,744,048
  6. Step 6: Final answer
    x = 773,426,276,850.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.