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Finding the Third Proportional to 54,956,662,599 and 119,038,943,567

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Solution

The third proportional to 54,956,662,599 and 119,038,943,567 is: 257,844,443,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,956,662,599 : 119,038,943,567 = 119,038,943,567 : x
  2. Step 2: Convert to fraction form
    54,956,662,599/119,038,943,567 = 119,038,943,567/x
  3. Step 3: Cross multiply
    54,956,662,599x = 119,038,943,567 × 119,038,943,567
  4. Step 4: Simplify right side
    54,956,662,599x = 14,170,270,085,547,410,063,360
  5. Step 5: Solve for x
    x = 14,170,270,085,547,410,063,360/54,956,662,599
  6. Step 6: Final answer
    x = 257,844,443,519.85

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Why These Related Problems?

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