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Finding the Third Proportional to 33,634,370 and 51,291,363

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Solution

The third proportional to 33,634,370 and 51,291,363 is: 78,217,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634,370 : 51,291,363 = 51,291,363 : x
  2. Step 2: Convert to fraction form
    33,634,370/51,291,363 = 51,291,363/x
  3. Step 3: Cross multiply
    33,634,370x = 51,291,363 × 51,291,363
  4. Step 4: Simplify right side
    33,634,370x = 2,630,803,918,397,769
  5. Step 5: Solve for x
    x = 2,630,803,918,397,769/33,634,370
  6. Step 6: Final answer
    x = 78,217,725.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.