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Finding the Third Proportional to 597,221,935.31 and 927,276,503.06

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Solution

The third proportional to 597,221,935.31 and 927,276,503.06 is: 1,439,735,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,221,935.31 : 927,276,503.06 = 927,276,503.06 : x
  2. Step 2: Convert to fraction form
    597,221,935.31/927,276,503.06 = 927,276,503.06/x
  3. Step 3: Cross multiply
    597,221,935.31x = 927,276,503.06 × 927,276,503.06
  4. Step 4: Simplify right side
    597,221,935.31x = 859,841,713,131,818,624
  5. Step 5: Solve for x
    x = 859,841,713,131,818,624/597,221,935.31
  6. Step 6: Final answer
    x = 1,439,735,653.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.