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Finding the Third Proportional to 29,054,367,312,852 and 64,030,940,013,222

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Solution

The third proportional to 29,054,367,312,852 and 64,030,940,013,222 is: 141,113,424,871,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,054,367,312,852 : 64,030,940,013,222 = 64,030,940,013,222 : x
  2. Step 2: Convert to fraction form
    29,054,367,312,852/64,030,940,013,222 = 64,030,940,013,222/x
  3. Step 3: Cross multiply
    29,054,367,312,852x = 64,030,940,013,222 × 64,030,940,013,222
  4. Step 4: Simplify right side
    29,054,367,312,852x = 4,099,961,278,976,833,921,235,288,064
  5. Step 5: Solve for x
    x = 4,099,961,278,976,833,921,235,288,064/29,054,367,312,852
  6. Step 6: Final answer
    x = 141,113,424,871,008.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.