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Finding the Third Proportional to 10,851,766,208.50 and 22,595,326,214

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Solution

The third proportional to 10,851,766,208.50 and 22,595,326,214 is: 47,047,527,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851,766,208.50 : 22,595,326,214 = 22,595,326,214 : x
  2. Step 2: Convert to fraction form
    10,851,766,208.50/22,595,326,214 = 22,595,326,214/x
  3. Step 3: Cross multiply
    10,851,766,208.50x = 22,595,326,214 × 22,595,326,214
  4. Step 4: Simplify right side
    10,851,766,208.50x = 510,548,766,717,075,587,072
  5. Step 5: Solve for x
    x = 510,548,766,717,075,587,072/10,851,766,208.50
  6. Step 6: Final answer
    x = 47,047,527,278.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.