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Finding the Third Proportional to 355,157,946,828 and 828,730,514,835

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Solution

The third proportional to 355,157,946,828 and 828,730,514,835 is: 1,933,771,361,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,157,946,828 : 828,730,514,835 = 828,730,514,835 : x
  2. Step 2: Convert to fraction form
    355,157,946,828/828,730,514,835 = 828,730,514,835/x
  3. Step 3: Cross multiply
    355,157,946,828x = 828,730,514,835 × 828,730,514,835
  4. Step 4: Simplify right side
    355,157,946,828x = 686,794,266,218,684,112,437,248
  5. Step 5: Solve for x
    x = 686,794,266,218,684,112,437,248/355,157,946,828
  6. Step 6: Final answer
    x = 1,933,771,361,031.36

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.