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Finding the Third Proportional to 346,937,944.50 and 475,745,764.50

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Solution

The third proportional to 346,937,944.50 and 475,745,764.50 is: 652,376,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,937,944.50 : 475,745,764.50 = 475,745,764.50 : x
  2. Step 2: Convert to fraction form
    346,937,944.50/475,745,764.50 = 475,745,764.50/x
  3. Step 3: Cross multiply
    346,937,944.50x = 475,745,764.50 × 475,745,764.50
  4. Step 4: Simplify right side
    346,937,944.50x = 226,334,032,439,689,472
  5. Step 5: Solve for x
    x = 226,334,032,439,689,472/346,937,944.50
  6. Step 6: Final answer
    x = 652,376,126.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.