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Finding the Third Proportional to 935,298,259.50 and 1,307,602,012.75

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Solution

The third proportional to 935,298,259.50 and 1,307,602,012.75 is: 1,828,104,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,298,259.50 : 1,307,602,012.75 = 1,307,602,012.75 : x
  2. Step 2: Convert to fraction form
    935,298,259.50/1,307,602,012.75 = 1,307,602,012.75/x
  3. Step 3: Cross multiply
    935,298,259.50x = 1,307,602,012.75 × 1,307,602,012.75
  4. Step 4: Simplify right side
    935,298,259.50x = 1,709,823,023,747,851,264
  5. Step 5: Solve for x
    x = 1,709,823,023,747,851,264/935,298,259.50
  6. Step 6: Final answer
    x = 1,828,104,571.33

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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.