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Finding the Third Proportional to 542,429,709 and 1,177,330,146

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Solution

The third proportional to 542,429,709 and 1,177,330,146 is: 2,555,365,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,429,709 : 1,177,330,146 = 1,177,330,146 : x
  2. Step 2: Convert to fraction form
    542,429,709/1,177,330,146 = 1,177,330,146/x
  3. Step 3: Cross multiply
    542,429,709x = 1,177,330,146 × 1,177,330,146
  4. Step 4: Simplify right side
    542,429,709x = 1,386,106,272,680,381,440
  5. Step 5: Solve for x
    x = 1,386,106,272,680,381,440/542,429,709
  6. Step 6: Final answer
    x = 2,555,365,699.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.