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Finding the Third Proportional to 585,133,277.63 and 858,302,051.63

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Solution

The third proportional to 585,133,277.63 and 858,302,051.63 is: 1,258,999,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,133,277.63 : 858,302,051.63 = 858,302,051.63 : x
  2. Step 2: Convert to fraction form
    585,133,277.63/858,302,051.63 = 858,302,051.63/x
  3. Step 3: Cross multiply
    585,133,277.63x = 858,302,051.63 × 858,302,051.63
  4. Step 4: Simplify right side
    585,133,277.63x = 736,682,411,823,684,224
  5. Step 5: Solve for x
    x = 736,682,411,823,684,224/585,133,277.63
  6. Step 6: Final answer
    x = 1,258,999,342.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.