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Finding the Third Proportional to 7,161,884,224 and 15,412,159,952

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Solution

The third proportional to 7,161,884,224 and 15,412,159,952 is: 33,166,505,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161,884,224 : 15,412,159,952 = 15,412,159,952 : x
  2. Step 2: Convert to fraction form
    7,161,884,224/15,412,159,952 = 15,412,159,952/x
  3. Step 3: Cross multiply
    7,161,884,224x = 15,412,159,952 × 15,412,159,952
  4. Step 4: Simplify right side
    7,161,884,224x = 237,534,674,386,032,656,384
  5. Step 5: Solve for x
    x = 237,534,674,386,032,656,384/7,161,884,224
  6. Step 6: Final answer
    x = 33,166,505,762.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.