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Finding the Third Proportional to 553,887,122.63 and 877,066,233.19

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Solution

The third proportional to 553,887,122.63 and 877,066,233.19 is: 1,388,812,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,887,122.63 : 877,066,233.19 = 877,066,233.19 : x
  2. Step 2: Convert to fraction form
    553,887,122.63/877,066,233.19 = 877,066,233.19/x
  3. Step 3: Cross multiply
    553,887,122.63x = 877,066,233.19 × 877,066,233.19
  4. Step 4: Simplify right side
    553,887,122.63x = 769,245,177,397,710,080
  5. Step 5: Solve for x
    x = 769,245,177,397,710,080/553,887,122.63
  6. Step 6: Final answer
    x = 1,388,812,171.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.