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Finding the Third Proportional to 630,600,030 and 1,473,366,216

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Solution

The third proportional to 630,600,030 and 1,473,366,216 is: 3,442,448,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,600,030 : 1,473,366,216 = 1,473,366,216 : x
  2. Step 2: Convert to fraction form
    630,600,030/1,473,366,216 = 1,473,366,216/x
  3. Step 3: Cross multiply
    630,600,030x = 1,473,366,216 × 1,473,366,216
  4. Step 4: Simplify right side
    630,600,030x = 2,170,808,006,450,158,592
  5. Step 5: Solve for x
    x = 2,170,808,006,450,158,592/630,600,030
  6. Step 6: Final answer
    x = 3,442,448,308.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.