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Finding the Third Proportional to 7,730,140,253,400 and 16,817,462,405,424

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Solution

The third proportional to 7,730,140,253,400 and 16,817,462,405,424 is: 36,587,569,240,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730,140,253,400 : 16,817,462,405,424 = 16,817,462,405,424 : x
  2. Step 2: Convert to fraction form
    7,730,140,253,400/16,817,462,405,424 = 16,817,462,405,424/x
  3. Step 3: Cross multiply
    7,730,140,253,400x = 16,817,462,405,424 × 16,817,462,405,424
  4. Step 4: Simplify right side
    7,730,140,253,400x = 282,827,041,757,849,593,539,723,264
  5. Step 5: Solve for x
    x = 282,827,041,757,849,593,539,723,264/7,730,140,253,400
  6. Step 6: Final answer
    x = 36,587,569,240,215.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.