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Finding the Third Proportional to 568,489,799,952 and 1,264,085,805,323.20

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Solution

The third proportional to 568,489,799,952 and 1,264,085,805,323.20 is: 2,810,803,154,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,489,799,952 : 1,264,085,805,323.20 = 1,264,085,805,323.20 : x
  2. Step 2: Convert to fraction form
    568,489,799,952/1,264,085,805,323.20 = 1,264,085,805,323.20/x
  3. Step 3: Cross multiply
    568,489,799,952x = 1,264,085,805,323.20 × 1,264,085,805,323.20
  4. Step 4: Simplify right side
    568,489,799,952x = 1,597,912,923,219,602,884,788,224
  5. Step 5: Solve for x
    x = 1,597,912,923,219,602,884,788,224/568,489,799,952
  6. Step 6: Final answer
    x = 2,810,803,154,875.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.