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Finding the Third Proportional to 693,475,323.75 and 1,015,333,663.50

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Solution

The third proportional to 693,475,323.75 and 1,015,333,663.50 is: 1,486,574,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,475,323.75 : 1,015,333,663.50 = 1,015,333,663.50 : x
  2. Step 2: Convert to fraction form
    693,475,323.75/1,015,333,663.50 = 1,015,333,663.50/x
  3. Step 3: Cross multiply
    693,475,323.75x = 1,015,333,663.50 × 1,015,333,663.50
  4. Step 4: Simplify right side
    693,475,323.75x = 1,030,902,448,236,331,264
  5. Step 5: Solve for x
    x = 1,030,902,448,236,331,264/693,475,323.75
  6. Step 6: Final answer
    x = 1,486,574,089.85

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