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Finding the Third Proportional to 264,013,869 and 549,754,962.75

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Solution

The third proportional to 264,013,869 and 549,754,962.75 is: 1,144,752,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,013,869 : 549,754,962.75 = 549,754,962.75 : x
  2. Step 2: Convert to fraction form
    264,013,869/549,754,962.75 = 549,754,962.75/x
  3. Step 3: Cross multiply
    264,013,869x = 549,754,962.75 × 549,754,962.75
  4. Step 4: Simplify right side
    264,013,869x = 302,230,519,068,253,888
  5. Step 5: Solve for x
    x = 302,230,519,068,253,888/264,013,869
  6. Step 6: Final answer
    x = 1,144,752,433.70

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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.