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Finding the Third Proportional to 314,852,216 and 493,865,472

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Solution

The third proportional to 314,852,216 and 493,865,472 is: 774,659,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,852,216 : 493,865,472 = 493,865,472 : x
  2. Step 2: Convert to fraction form
    314,852,216/493,865,472 = 493,865,472/x
  3. Step 3: Cross multiply
    314,852,216x = 493,865,472 × 493,865,472
  4. Step 4: Simplify right side
    314,852,216x = 243,903,104,433,782,784
  5. Step 5: Solve for x
    x = 243,903,104,433,782,784/314,852,216
  6. Step 6: Final answer
    x = 774,659,005.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.