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Finding the Third Proportional to 533,651,443,972 and 812,981,061,356

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Solution

The third proportional to 533,651,443,972 and 812,981,061,356 is: 1,238,520,411,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,651,443,972 : 812,981,061,356 = 812,981,061,356 : x
  2. Step 2: Convert to fraction form
    533,651,443,972/812,981,061,356 = 812,981,061,356/x
  3. Step 3: Cross multiply
    533,651,443,972x = 812,981,061,356 × 812,981,061,356
  4. Step 4: Simplify right side
    533,651,443,972x = 660,938,206,123,528,214,806,528
  5. Step 5: Solve for x
    x = 660,938,206,123,528,214,806,528/533,651,443,972
  6. Step 6: Final answer
    x = 1,238,520,411,758.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.