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Finding the Third Proportional to 346,997,583 and 462,611,830.50

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Solution

The third proportional to 346,997,583 and 462,611,830.50 is: 616,746,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,997,583 : 462,611,830.50 = 462,611,830.50 : x
  2. Step 2: Convert to fraction form
    346,997,583/462,611,830.50 = 462,611,830.50/x
  3. Step 3: Cross multiply
    346,997,583x = 462,611,830.50 × 462,611,830.50
  4. Step 4: Simplify right side
    346,997,583x = 214,009,705,718,560,736
  5. Step 5: Solve for x
    x = 214,009,705,718,560,736/346,997,583
  6. Step 6: Final answer
    x = 616,746,963.68

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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.