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Finding the Third Proportional to 79,139,658,752 and 170,676,423,232

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Solution

The third proportional to 79,139,658,752 and 170,676,423,232 is: 368,089,045,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,139,658,752 : 170,676,423,232 = 170,676,423,232 : x
  2. Step 2: Convert to fraction form
    79,139,658,752/170,676,423,232 = 170,676,423,232/x
  3. Step 3: Cross multiply
    79,139,658,752x = 170,676,423,232 × 170,676,423,232
  4. Step 4: Simplify right side
    79,139,658,752x = 29,130,441,447,268,790,829,056
  5. Step 5: Solve for x
    x = 29,130,441,447,268,790,829,056/79,139,658,752
  6. Step 6: Final answer
    x = 368,089,045,450.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.