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Finding the Third Proportional to 74,801,127,208 and 164,562,297,776

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Solution

The third proportional to 74,801,127,208 and 164,562,297,776 is: 362,036,654,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,801,127,208 : 164,562,297,776 = 164,562,297,776 : x
  2. Step 2: Convert to fraction form
    74,801,127,208/164,562,297,776 = 164,562,297,776/x
  3. Step 3: Cross multiply
    74,801,127,208x = 164,562,297,776 × 164,562,297,776
  4. Step 4: Simplify right side
    74,801,127,208x = 27,080,749,849,316,895,490,048
  5. Step 5: Solve for x
    x = 27,080,749,849,316,895,490,048/74,801,127,208
  6. Step 6: Final answer
    x = 362,036,654,528.12

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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.