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Finding the Third Proportional to 509,787,477.56 and 787,201,097.06

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Solution

The third proportional to 509,787,477.56 and 787,201,097.06 is: 1,215,576,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,787,477.56 : 787,201,097.06 = 787,201,097.06 : x
  2. Step 2: Convert to fraction form
    509,787,477.56/787,201,097.06 = 787,201,097.06/x
  3. Step 3: Cross multiply
    509,787,477.56x = 787,201,097.06 × 787,201,097.06
  4. Step 4: Simplify right side
    509,787,477.56x = 619,685,567,216,403,584
  5. Step 5: Solve for x
    x = 619,685,567,216,403,584/509,787,477.56
  6. Step 6: Final answer
    x = 1,215,576,283.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.