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Finding the Third Proportional to 411,602,184,877.50 and 891,584,056,539

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Solution

The third proportional to 411,602,184,877.50 and 891,584,056,539 is: 1,931,287,439,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,602,184,877.50 : 891,584,056,539 = 891,584,056,539 : x
  2. Step 2: Convert to fraction form
    411,602,184,877.50/891,584,056,539 = 891,584,056,539/x
  3. Step 3: Cross multiply
    411,602,184,877.50x = 891,584,056,539 × 891,584,056,539
  4. Step 4: Simplify right side
    411,602,184,877.50x = 794,922,129,874,538,784,096,256
  5. Step 5: Solve for x
    x = 794,922,129,874,538,784,096,256/411,602,184,877.50
  6. Step 6: Final answer
    x = 1,931,287,439,864.10

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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.