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Finding the Third Proportional to 209,479,866,440 and 459,516,114,064

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Solution

The third proportional to 209,479,866,440 and 459,516,114,064 is: 1,007,996,914,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,479,866,440 : 459,516,114,064 = 459,516,114,064 : x
  2. Step 2: Convert to fraction form
    209,479,866,440/459,516,114,064 = 459,516,114,064/x
  3. Step 3: Cross multiply
    209,479,866,440x = 459,516,114,064 × 459,516,114,064
  4. Step 4: Simplify right side
    209,479,866,440x = 211,155,059,084,479,067,848,704
  5. Step 5: Solve for x
    x = 211,155,059,084,479,067,848,704/209,479,866,440
  6. Step 6: Final answer
    x = 1,007,996,914,801.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.