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Finding the Third Proportional to 227,640,582 and 499,525,596

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Solution

The third proportional to 227,640,582 and 499,525,596 is: 1,096,139,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,640,582 : 499,525,596 = 499,525,596 : x
  2. Step 2: Convert to fraction form
    227,640,582/499,525,596 = 499,525,596/x
  3. Step 3: Cross multiply
    227,640,582x = 499,525,596 × 499,525,596
  4. Step 4: Simplify right side
    227,640,582x = 249,525,821,059,155,200
  5. Step 5: Solve for x
    x = 249,525,821,059,155,200/227,640,582
  6. Step 6: Final answer
    x = 1,096,139,444.32

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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.