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Finding the Third Proportional to 338,501,776 and 737,097,581

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Solution

The third proportional to 338,501,776 and 737,097,581 is: 1,605,051,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,501,776 : 737,097,581 = 737,097,581 : x
  2. Step 2: Convert to fraction form
    338,501,776/737,097,581 = 737,097,581/x
  3. Step 3: Cross multiply
    338,501,776x = 737,097,581 × 737,097,581
  4. Step 4: Simplify right side
    338,501,776x = 543,312,843,916,051,584
  5. Step 5: Solve for x
    x = 543,312,843,916,051,584/338,501,776
  6. Step 6: Final answer
    x = 1,605,051,679.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.