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Finding the Third Proportional to 9,646,926,239 and 20,896,501,381

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Solution

The third proportional to 9,646,926,239 and 20,896,501,381 is: 45,264,549,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,926,239 : 20,896,501,381 = 20,896,501,381 : x
  2. Step 2: Convert to fraction form
    9,646,926,239/20,896,501,381 = 20,896,501,381/x
  3. Step 3: Cross multiply
    9,646,926,239x = 20,896,501,381 × 20,896,501,381
  4. Step 4: Simplify right side
    9,646,926,239x = 436,663,769,966,134,886,400
  5. Step 5: Solve for x
    x = 436,663,769,966,134,886,400/9,646,926,239
  6. Step 6: Final answer
    x = 45,264,549,468.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.