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Finding the Third Proportional to 292,566,638.81 and 429,151,025.81

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Solution

The third proportional to 292,566,638.81 and 429,151,025.81 is: 629,499,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,566,638.81 : 429,151,025.81 = 429,151,025.81 : x
  2. Step 2: Convert to fraction form
    292,566,638.81/429,151,025.81 = 429,151,025.81/x
  3. Step 3: Cross multiply
    292,566,638.81x = 429,151,025.81 × 429,151,025.81
  4. Step 4: Simplify right side
    292,566,638.81x = 184,170,602,955,921,056
  5. Step 5: Solve for x
    x = 184,170,602,955,921,056/292,566,638.81
  6. Step 6: Final answer
    x = 629,499,671.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.