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Finding the Third Proportional to 723,088,416 and 1,581,385,856

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Solution

The third proportional to 723,088,416 and 1,581,385,856 is: 3,458,472,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,088,416 : 1,581,385,856 = 1,581,385,856 : x
  2. Step 2: Convert to fraction form
    723,088,416/1,581,385,856 = 1,581,385,856/x
  3. Step 3: Cross multiply
    723,088,416x = 1,581,385,856 × 1,581,385,856
  4. Step 4: Simplify right side
    723,088,416x = 2,500,781,225,556,852,736
  5. Step 5: Solve for x
    x = 2,500,781,225,556,852,736/723,088,416
  6. Step 6: Final answer
    x = 3,458,472,256.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.