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Finding the Third Proportional to 79,139,658,748 and 170,676,423,224

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Solution

The third proportional to 79,139,658,748 and 170,676,423,224 is: 368,089,045,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,139,658,748 : 170,676,423,224 = 170,676,423,224 : x
  2. Step 2: Convert to fraction form
    79,139,658,748/170,676,423,224 = 170,676,423,224/x
  3. Step 3: Cross multiply
    79,139,658,748x = 170,676,423,224 × 170,676,423,224
  4. Step 4: Simplify right side
    79,139,658,748x = 29,130,441,444,537,967,575,040
  5. Step 5: Solve for x
    x = 29,130,441,444,537,967,575,040/79,139,658,748
  6. Step 6: Final answer
    x = 368,089,045,434.18

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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.