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Finding the Third Proportional to 1,118,720,328 and 1,693,609,164

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Solution

The third proportional to 1,118,720,328 and 1,693,609,164 is: 2,563,922,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118,720,328 : 1,693,609,164 = 1,693,609,164 : x
  2. Step 2: Convert to fraction form
    1,118,720,328/1,693,609,164 = 1,693,609,164/x
  3. Step 3: Cross multiply
    1,118,720,328x = 1,693,609,164 × 1,693,609,164
  4. Step 4: Simplify right side
    1,118,720,328x = 2,868,312,000,384,778,752
  5. Step 5: Solve for x
    x = 2,868,312,000,384,778,752/1,118,720,328
  6. Step 6: Final answer
    x = 2,563,922,303.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.