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Finding the Third Proportional to 537,553,875,312 and 1,151,782,956,471

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Solution

The third proportional to 537,553,875,312 and 1,151,782,956,471 is: 2,467,853,065,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,553,875,312 : 1,151,782,956,471 = 1,151,782,956,471 : x
  2. Step 2: Convert to fraction form
    537,553,875,312/1,151,782,956,471 = 1,151,782,956,471/x
  3. Step 3: Cross multiply
    537,553,875,312x = 1,151,782,956,471 × 1,151,782,956,471
  4. Step 4: Simplify right side
    537,553,875,312x = 1,326,603,978,817,077,403,189,248
  5. Step 5: Solve for x
    x = 1,326,603,978,817,077,403,189,248/537,553,875,312
  6. Step 6: Final answer
    x = 2,467,853,065,047.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.