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Finding the Third Proportional to 690,368,981.34 and 1,509,875,665.31

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Solution

The third proportional to 690,368,981.34 and 1,509,875,665.31 is: 3,302,182,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,368,981.34 : 1,509,875,665.31 = 1,509,875,665.31 : x
  2. Step 2: Convert to fraction form
    690,368,981.34/1,509,875,665.31 = 1,509,875,665.31/x
  3. Step 3: Cross multiply
    690,368,981.34x = 1,509,875,665.31 × 1,509,875,665.31
  4. Step 4: Simplify right side
    690,368,981.34x = 2,279,724,524,702,864,640
  5. Step 5: Solve for x
    x = 2,279,724,524,702,864,640/690,368,981.34
  6. Step 6: Final answer
    x = 3,302,182,725.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.