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Finding the Third Proportional to 466,178,024 and 699,095,854

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Solution

The third proportional to 466,178,024 and 699,095,854 is: 1,048,387,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,178,024 : 699,095,854 = 699,095,854 : x
  2. Step 2: Convert to fraction form
    466,178,024/699,095,854 = 699,095,854/x
  3. Step 3: Cross multiply
    466,178,024x = 699,095,854 × 699,095,854
  4. Step 4: Simplify right side
    466,178,024x = 488,735,013,079,989,312
  5. Step 5: Solve for x
    x = 488,735,013,079,989,312/466,178,024
  6. Step 6: Final answer
    x = 1,048,387,070.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.