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Finding the Third Proportional to 935,298,265.50 and 1,307,602,023

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Solution

The third proportional to 935,298,265.50 and 1,307,602,023 is: 1,828,104,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,298,265.50 : 1,307,602,023 = 1,307,602,023 : x
  2. Step 2: Convert to fraction form
    935,298,265.50/1,307,602,023 = 1,307,602,023/x
  3. Step 3: Cross multiply
    935,298,265.50x = 1,307,602,023 × 1,307,602,023
  4. Step 4: Simplify right side
    935,298,265.50x = 1,709,823,050,553,692,416
  5. Step 5: Solve for x
    x = 1,709,823,050,553,692,416/935,298,265.50
  6. Step 6: Final answer
    x = 1,828,104,588.26

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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.