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Finding the Third Proportional to 935,298,266 and 1,307,602,023.50

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Solution

The third proportional to 935,298,266 and 1,307,602,023.50 is: 1,828,104,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,298,266 : 1,307,602,023.50 = 1,307,602,023.50 : x
  2. Step 2: Convert to fraction form
    935,298,266/1,307,602,023.50 = 1,307,602,023.50/x
  3. Step 3: Cross multiply
    935,298,266x = 1,307,602,023.50 × 1,307,602,023.50
  4. Step 4: Simplify right side
    935,298,266x = 1,709,823,051,861,294,592
  5. Step 5: Solve for x
    x = 1,709,823,051,861,294,592/935,298,266
  6. Step 6: Final answer
    x = 1,828,104,588.68

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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.