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Finding the Third Proportional to 129,292,712,038 and 302,086,114,630

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Solution

The third proportional to 129,292,712,038 and 302,086,114,630 is: 705,809,470,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,292,712,038 : 302,086,114,630 = 302,086,114,630 : x
  2. Step 2: Convert to fraction form
    129,292,712,038/302,086,114,630 = 302,086,114,630/x
  3. Step 3: Cross multiply
    129,292,712,038x = 302,086,114,630 × 302,086,114,630
  4. Step 4: Simplify right side
    129,292,712,038x = 91,256,020,652,249,497,731,072
  5. Step 5: Solve for x
    x = 91,256,020,652,249,497,731,072/129,292,712,038
  6. Step 6: Final answer
    x = 705,809,470,725.84

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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.