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Finding the Third Proportional to 935,298,256.50 and 1,307,602,009.75

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Solution

The third proportional to 935,298,256.50 and 1,307,602,009.75 is: 1,828,104,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,298,256.50 : 1,307,602,009.75 = 1,307,602,009.75 : x
  2. Step 2: Convert to fraction form
    935,298,256.50/1,307,602,009.75 = 1,307,602,009.75/x
  3. Step 3: Cross multiply
    935,298,256.50x = 1,307,602,009.75 × 1,307,602,009.75
  4. Step 4: Simplify right side
    935,298,256.50x = 1,709,823,015,902,238,976
  5. Step 5: Solve for x
    x = 1,709,823,015,902,238,976/935,298,256.50
  6. Step 6: Final answer
    x = 1,828,104,568.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.