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Finding the Third Proportional to 209,329,458,868 and 456,545,346,776

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Solution

The third proportional to 209,329,458,868 and 456,545,346,776 is: 995,720,596,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,329,458,868 : 456,545,346,776 = 456,545,346,776 : x
  2. Step 2: Convert to fraction form
    209,329,458,868/456,545,346,776 = 456,545,346,776/x
  3. Step 3: Cross multiply
    209,329,458,868x = 456,545,346,776 × 456,545,346,776
  4. Step 4: Simplify right side
    209,329,458,868x = 208,433,653,662,818,102,149,120
  5. Step 5: Solve for x
    x = 208,433,653,662,818,102,149,120/209,329,458,868
  6. Step 6: Final answer
    x = 995,720,596,565.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.