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Finding the Third Proportional to 75,830,633 and 163,341,897

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Solution

The third proportional to 75,830,633 and 163,341,897 is: 351,844,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,830,633 : 163,341,897 = 163,341,897 : x
  2. Step 2: Convert to fraction form
    75,830,633/163,341,897 = 163,341,897/x
  3. Step 3: Cross multiply
    75,830,633x = 163,341,897 × 163,341,897
  4. Step 4: Simplify right side
    75,830,633x = 26,680,575,315,558,608
  5. Step 5: Solve for x
    x = 26,680,575,315,558,608/75,830,633
  6. Step 6: Final answer
    x = 351,844,291.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.