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Finding the Third Proportional to 4,330,731,154,798 and 9,290,138,698,850

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Solution

The third proportional to 4,330,731,154,798 and 9,290,138,698,850 is: 19,928,892,826,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330,731,154,798 : 9,290,138,698,850 = 9,290,138,698,850 : x
  2. Step 2: Convert to fraction form
    4,330,731,154,798/9,290,138,698,850 = 9,290,138,698,850/x
  3. Step 3: Cross multiply
    4,330,731,154,798x = 9,290,138,698,850 × 9,290,138,698,850
  4. Step 4: Simplify right side
    4,330,731,154,798x = 86,306,677,043,870,368,511,557,632
  5. Step 5: Solve for x
    x = 86,306,677,043,870,368,511,557,632/4,330,731,154,798
  6. Step 6: Final answer
    x = 19,928,892,826,388.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.