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Finding the Third Proportional to 779,600,052 and 1,733,506,110

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Solution

The third proportional to 779,600,052 and 1,733,506,110 is: 3,854,596,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,600,052 : 1,733,506,110 = 1,733,506,110 : x
  2. Step 2: Convert to fraction form
    779,600,052/1,733,506,110 = 1,733,506,110/x
  3. Step 3: Cross multiply
    779,600,052x = 1,733,506,110 × 1,733,506,110
  4. Step 4: Simplify right side
    779,600,052x = 3,005,043,433,407,332,352
  5. Step 5: Solve for x
    x = 3,005,043,433,407,332,352/779,600,052
  6. Step 6: Final answer
    x = 3,854,596,245.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.