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Finding the Third Proportional to 283,414,041,898.50 and 624,596,891,108.25

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Solution

The third proportional to 283,414,041,898.50 and 624,596,891,108.25 is: 1,376,506,519,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,414,041,898.50 : 624,596,891,108.25 = 624,596,891,108.25 : x
  2. Step 2: Convert to fraction form
    283,414,041,898.50/624,596,891,108.25 = 624,596,891,108.25/x
  3. Step 3: Cross multiply
    283,414,041,898.50x = 624,596,891,108.25 × 624,596,891,108.25
  4. Step 4: Simplify right side
    283,414,041,898.50x = 390,121,276,382,091,094,786,048
  5. Step 5: Solve for x
    x = 390,121,276,382,091,094,786,048/283,414,041,898.50
  6. Step 6: Final answer
    x = 1,376,506,519,468.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.