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Finding the Third Proportional to 575,782,434 and 1,243,313,164.50

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Solution

The third proportional to 575,782,434 and 1,243,313,164.50 is: 2,684,742,593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,782,434 : 1,243,313,164.50 = 1,243,313,164.50 : x
  2. Step 2: Convert to fraction form
    575,782,434/1,243,313,164.50 = 1,243,313,164.50/x
  3. Step 3: Cross multiply
    575,782,434x = 1,243,313,164.50 × 1,243,313,164.50
  4. Step 4: Simplify right side
    575,782,434x = 1,545,827,625,019,004,160
  5. Step 5: Solve for x
    x = 1,545,827,625,019,004,160/575,782,434
  6. Step 6: Final answer
    x = 2,684,742,593.27

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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.