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Finding the Third Proportional to 1,688,391,522 and 3,667,430,139

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Solution

The third proportional to 1,688,391,522 and 3,667,430,139 is: 7,966,187,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,391,522 : 3,667,430,139 = 3,667,430,139 : x
  2. Step 2: Convert to fraction form
    1,688,391,522/3,667,430,139 = 3,667,430,139/x
  3. Step 3: Cross multiply
    1,688,391,522x = 3,667,430,139 × 3,667,430,139
  4. Step 4: Simplify right side
    1,688,391,522x = 13,450,043,824,445,558,784
  5. Step 5: Solve for x
    x = 13,450,043,824,445,558,784/1,688,391,522
  6. Step 6: Final answer
    x = 7,966,187,729.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.