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Finding the Third Proportional to 689,163,981.75 and 1,041,951,460.50

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Solution

The third proportional to 689,163,981.75 and 1,041,951,460.50 is: 1,575,333,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,163,981.75 : 1,041,951,460.50 = 1,041,951,460.50 : x
  2. Step 2: Convert to fraction form
    689,163,981.75/1,041,951,460.50 = 1,041,951,460.50/x
  3. Step 3: Cross multiply
    689,163,981.75x = 1,041,951,460.50 × 1,041,951,460.50
  4. Step 4: Simplify right side
    689,163,981.75x = 1,085,662,846,038,083,072
  5. Step 5: Solve for x
    x = 1,085,662,846,038,083,072/689,163,981.75
  6. Step 6: Final answer
    x = 1,575,333,120.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.