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Finding the Third Proportional to 602,593,885,124 and 1,301,047,362,352

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Solution

The third proportional to 602,593,885,124 and 1,301,047,362,352 is: 2,809,063,086,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,593,885,124 : 1,301,047,362,352 = 1,301,047,362,352 : x
  2. Step 2: Convert to fraction form
    602,593,885,124/1,301,047,362,352 = 1,301,047,362,352/x
  3. Step 3: Cross multiply
    602,593,885,124x = 1,301,047,362,352 × 1,301,047,362,352
  4. Step 4: Simplify right side
    602,593,885,124x = 1,692,724,239,083,096,516,853,760
  5. Step 5: Solve for x
    x = 1,692,724,239,083,096,516,853,760/602,593,885,124
  6. Step 6: Final answer
    x = 2,809,063,086,882.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.