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Finding the Third Proportional to 370,495,215 and 493,926,511.50

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Solution

The third proportional to 370,495,215 and 493,926,511.50 is: 658,479,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,495,215 : 493,926,511.50 = 493,926,511.50 : x
  2. Step 2: Convert to fraction form
    370,495,215/493,926,511.50 = 493,926,511.50/x
  3. Step 3: Cross multiply
    370,495,215x = 493,926,511.50 × 493,926,511.50
  4. Step 4: Simplify right side
    370,495,215x = 243,963,398,762,559,648
  5. Step 5: Solve for x
    x = 243,963,398,762,559,648/370,495,215
  6. Step 6: Final answer
    x = 658,479,216.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.