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Finding the Third Proportional to 209,506,624 and 493,865,368

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Solution

The third proportional to 209,506,624 and 493,865,368 is: 1,164,177,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,506,624 : 493,865,368 = 493,865,368 : x
  2. Step 2: Convert to fraction form
    209,506,624/493,865,368 = 493,865,368/x
  3. Step 3: Cross multiply
    209,506,624x = 493,865,368 × 493,865,368
  4. Step 4: Simplify right side
    209,506,624x = 243,903,001,709,775,424
  5. Step 5: Solve for x
    x = 243,903,001,709,775,424/209,506,624
  6. Step 6: Final answer
    x = 1,164,177,996.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.