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Finding the Third Proportional to 832,992,066 and 1,218,825,009

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Solution

The third proportional to 832,992,066 and 1,218,825,009 is: 1,783,371,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,992,066 : 1,218,825,009 = 1,218,825,009 : x
  2. Step 2: Convert to fraction form
    832,992,066/1,218,825,009 = 1,218,825,009/x
  3. Step 3: Cross multiply
    832,992,066x = 1,218,825,009 × 1,218,825,009
  4. Step 4: Simplify right side
    832,992,066x = 1,485,534,402,563,849,984
  5. Step 5: Solve for x
    x = 1,485,534,402,563,849,984/832,992,066
  6. Step 6: Final answer
    x = 1,783,371,610.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.