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Finding the Third Proportional to 306,159,354 and 472,776,013.50

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Solution

The third proportional to 306,159,354 and 472,776,013.50 is: 730,068,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,159,354 : 472,776,013.50 = 472,776,013.50 : x
  2. Step 2: Convert to fraction form
    306,159,354/472,776,013.50 = 472,776,013.50/x
  3. Step 3: Cross multiply
    306,159,354x = 472,776,013.50 × 472,776,013.50
  4. Step 4: Simplify right side
    306,159,354x = 223,517,158,940,952,192
  5. Step 5: Solve for x
    x = 223,517,158,940,952,192/306,159,354
  6. Step 6: Final answer
    x = 730,068,038.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.