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Finding the Third Proportional to 42,075,634,060 and 92,566,292,509

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Solution

The third proportional to 42,075,634,060 and 92,566,292,509 is: 203,645,618,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,075,634,060 : 92,566,292,509 = 92,566,292,509 : x
  2. Step 2: Convert to fraction form
    42,075,634,060/92,566,292,509 = 92,566,292,509/x
  3. Step 3: Cross multiply
    42,075,634,060x = 92,566,292,509 × 92,566,292,509
  4. Step 4: Simplify right side
    42,075,634,060x = 8,568,518,508,861,749,985,280
  5. Step 5: Solve for x
    x = 8,568,518,508,861,749,985,280/42,075,634,060
  6. Step 6: Final answer
    x = 203,645,618,189.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.