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Finding the Third Proportional to 524,588,329.13 and 1,130,893,999.31

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Solution

The third proportional to 524,588,329.13 and 1,130,893,999.31 is: 2,437,952,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,588,329.13 : 1,130,893,999.31 = 1,130,893,999.31 : x
  2. Step 2: Convert to fraction form
    524,588,329.13/1,130,893,999.31 = 1,130,893,999.31/x
  3. Step 3: Cross multiply
    524,588,329.13x = 1,130,893,999.31 × 1,130,893,999.31
  4. Step 4: Simplify right side
    524,588,329.13x = 1,278,921,237,681,020,672
  5. Step 5: Solve for x
    x = 1,278,921,237,681,020,672/524,588,329.13
  6. Step 6: Final answer
    x = 2,437,952,136.32

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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.