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Finding the Third Proportional to 3,594,112,482,855 and 7,288,235,343,774

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Solution

The third proportional to 3,594,112,482,855 and 7,288,235,343,774 is: 14,779,274,349,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594,112,482,855 : 7,288,235,343,774 = 7,288,235,343,774 : x
  2. Step 2: Convert to fraction form
    3,594,112,482,855/7,288,235,343,774 = 7,288,235,343,774/x
  3. Step 3: Cross multiply
    3,594,112,482,855x = 7,288,235,343,774 × 7,288,235,343,774
  4. Step 4: Simplify right side
    3,594,112,482,855x = 53,118,374,426,236,516,581,769,216
  5. Step 5: Solve for x
    x = 53,118,374,426,236,516,581,769,216/3,594,112,482,855
  6. Step 6: Final answer
    x = 14,779,274,349,266.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.