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Finding the Third Proportional to 658,230,051.63 and 1,370,941,417.63

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Solution

The third proportional to 658,230,051.63 and 1,370,941,417.63 is: 2,855,354,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,230,051.63 : 1,370,941,417.63 = 1,370,941,417.63 : x
  2. Step 2: Convert to fraction form
    658,230,051.63/1,370,941,417.63 = 1,370,941,417.63/x
  3. Step 3: Cross multiply
    658,230,051.63x = 1,370,941,417.63 × 1,370,941,417.63
  4. Step 4: Simplify right side
    658,230,051.63x = 1,879,480,370,559,644,672
  5. Step 5: Solve for x
    x = 1,879,480,370,559,644,672/658,230,051.63
  6. Step 6: Final answer
    x = 2,855,354,850.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.