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Finding the Third Proportional to 356,734,373.06 and 545,763,754.13

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Solution

The third proportional to 356,734,373.06 and 545,763,754.13 is: 834,957,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,734,373.06 : 545,763,754.13 = 545,763,754.13 : x
  2. Step 2: Convert to fraction form
    356,734,373.06/545,763,754.13 = 545,763,754.13/x
  3. Step 3: Cross multiply
    356,734,373.06x = 545,763,754.13 × 545,763,754.13
  4. Step 4: Simplify right side
    356,734,373.06x = 297,858,075,316,613,440
  5. Step 5: Solve for x
    x = 297,858,075,316,613,440/356,734,373.06
  6. Step 6: Final answer
    x = 834,957,598.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.