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Finding the Third Proportional to 520,419,724,207 and 1,141,372,374,889

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Solution

The third proportional to 520,419,724,207 and 1,141,372,374,889 is: 2,503,231,214,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,419,724,207 : 1,141,372,374,889 = 1,141,372,374,889 : x
  2. Step 2: Convert to fraction form
    520,419,724,207/1,141,372,374,889 = 1,141,372,374,889/x
  3. Step 3: Cross multiply
    520,419,724,207x = 1,141,372,374,889 × 1,141,372,374,889
  4. Step 4: Simplify right side
    520,419,724,207x = 1,302,730,898,159,756,053,053,440
  5. Step 5: Solve for x
    x = 1,302,730,898,159,756,053,053,440/520,419,724,207
  6. Step 6: Final answer
    x = 2,503,231,214,275.78

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Why These Related Problems?

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