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Finding the Third Proportional to 438,830,515.13 and 601,743,259.13

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Solution

The third proportional to 438,830,515.13 and 601,743,259.13 is: 825,136,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,830,515.13 : 601,743,259.13 = 601,743,259.13 : x
  2. Step 2: Convert to fraction form
    438,830,515.13/601,743,259.13 = 601,743,259.13/x
  3. Step 3: Cross multiply
    438,830,515.13x = 601,743,259.13 × 601,743,259.13
  4. Step 4: Simplify right side
    438,830,515.13x = 362,094,949,902,376,896
  5. Step 5: Solve for x
    x = 362,094,949,902,376,896/438,830,515.13
  6. Step 6: Final answer
    x = 825,136,214.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.