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Finding the Third Proportional to 604,191,969 and 932,978,101.50

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Solution

The third proportional to 604,191,969 and 932,978,101.50 is: 1,440,681,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,191,969 : 932,978,101.50 = 932,978,101.50 : x
  2. Step 2: Convert to fraction form
    604,191,969/932,978,101.50 = 932,978,101.50/x
  3. Step 3: Cross multiply
    604,191,969x = 932,978,101.50 × 932,978,101.50
  4. Step 4: Simplify right side
    604,191,969x = 870,448,137,878,544,256
  5. Step 5: Solve for x
    x = 870,448,137,878,544,256/604,191,969
  6. Step 6: Final answer
    x = 1,440,681,410.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.