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Finding the Third Proportional to 4,277,379,748 and 6,806,152,230

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Solution

The third proportional to 4,277,379,748 and 6,806,152,230 is: 10,829,926,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277,379,748 : 6,806,152,230 = 6,806,152,230 : x
  2. Step 2: Convert to fraction form
    4,277,379,748/6,806,152,230 = 6,806,152,230/x
  3. Step 3: Cross multiply
    4,277,379,748x = 6,806,152,230 × 6,806,152,230
  4. Step 4: Simplify right side
    4,277,379,748x = 46,323,708,177,933,975,552
  5. Step 5: Solve for x
    x = 46,323,708,177,933,975,552/4,277,379,748
  6. Step 6: Final answer
    x = 10,829,926,475.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.