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Finding the Third Proportional to 426,102,042 and 916,921,788

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Solution

The third proportional to 426,102,042 and 916,921,788 is: 1,973,108,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,102,042 : 916,921,788 = 916,921,788 : x
  2. Step 2: Convert to fraction form
    426,102,042/916,921,788 = 916,921,788/x
  3. Step 3: Cross multiply
    426,102,042x = 916,921,788 × 916,921,788
  4. Step 4: Simplify right side
    426,102,042x = 840,745,565,309,116,928
  5. Step 5: Solve for x
    x = 840,745,565,309,116,928/426,102,042
  6. Step 6: Final answer
    x = 1,973,108,510.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.