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Finding the Third Proportional to 1,730,747,040 and 3,723,927,564

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Solution

The third proportional to 1,730,747,040 and 3,723,927,564 is: 8,012,514,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730,747,040 : 3,723,927,564 = 3,723,927,564 : x
  2. Step 2: Convert to fraction form
    1,730,747,040/3,723,927,564 = 3,723,927,564/x
  3. Step 3: Cross multiply
    1,730,747,040x = 3,723,927,564 × 3,723,927,564
  4. Step 4: Simplify right side
    1,730,747,040x = 13,867,636,501,918,973,952
  5. Step 5: Solve for x
    x = 13,867,636,501,918,973,952/1,730,747,040
  6. Step 6: Final answer
    x = 8,012,514,932.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.