Home / 429,536,539,509.76-646,098,124,115.24

Finding the Third Proportional to 429,536,539,509.76 and 646,098,124,115.24

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Solution

The third proportional to 429,536,539,509.76 and 646,098,124,115.24 is: 971,844,645,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,536,539,509.76 : 646,098,124,115.24 = 646,098,124,115.24 : x
  2. Step 2: Convert to fraction form
    429,536,539,509.76/646,098,124,115.24 = 646,098,124,115.24/x
  3. Step 3: Cross multiply
    429,536,539,509.76x = 646,098,124,115.24 × 646,098,124,115.24
  4. Step 4: Simplify right side
    429,536,539,509.76x = 417,442,785,985,232,044,556,288
  5. Step 5: Solve for x
    x = 417,442,785,985,232,044,556,288/429,536,539,509.76
  6. Step 6: Final answer
    x = 971,844,645,537.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.