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Finding the Third Proportional to 730,588,302,432 and 1,117,718,298,864

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Solution

The third proportional to 730,588,302,432 and 1,117,718,298,864 is: 1,709,983,846,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,588,302,432 : 1,117,718,298,864 = 1,117,718,298,864 : x
  2. Step 2: Convert to fraction form
    730,588,302,432/1,117,718,298,864 = 1,117,718,298,864/x
  3. Step 3: Cross multiply
    730,588,302,432x = 1,117,718,298,864 × 1,117,718,298,864
  4. Step 4: Simplify right side
    730,588,302,432x = 1,249,294,195,615,434,006,331,392
  5. Step 5: Solve for x
    x = 1,249,294,195,615,434,006,331,392/730,588,302,432
  6. Step 6: Final answer
    x = 1,709,983,846,520.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.