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Finding the Third Proportional to 692,975,572 and 1,540,888,916

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Solution

The third proportional to 692,975,572 and 1,540,888,916 is: 3,426,294,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,975,572 : 1,540,888,916 = 1,540,888,916 : x
  2. Step 2: Convert to fraction form
    692,975,572/1,540,888,916 = 1,540,888,916/x
  3. Step 3: Cross multiply
    692,975,572x = 1,540,888,916 × 1,540,888,916
  4. Step 4: Simplify right side
    692,975,572x = 2,374,338,651,451,655,168
  5. Step 5: Solve for x
    x = 2,374,338,651,451,655,168/692,975,572
  6. Step 6: Final answer
    x = 3,426,294,875.88

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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.