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Finding the Third Proportional to 429,090,136 and 926,165,356

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Solution

The third proportional to 429,090,136 and 926,165,356 is: 1,999,072,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,090,136 : 926,165,356 = 926,165,356 : x
  2. Step 2: Convert to fraction form
    429,090,136/926,165,356 = 926,165,356/x
  3. Step 3: Cross multiply
    429,090,136x = 926,165,356 × 926,165,356
  4. Step 4: Simplify right side
    429,090,136x = 857,782,266,654,606,720
  5. Step 5: Solve for x
    x = 857,782,266,654,606,720/429,090,136
  6. Step 6: Final answer
    x = 1,999,072,443.50

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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.