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Finding the Third Proportional to 57,323,206,265 and 85,487,709,125

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Solution

The third proportional to 57,323,206,265 and 85,487,709,125 is: 127,490,224,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,323,206,265 : 85,487,709,125 = 85,487,709,125 : x
  2. Step 2: Convert to fraction form
    57,323,206,265/85,487,709,125 = 85,487,709,125/x
  3. Step 3: Cross multiply
    57,323,206,265x = 85,487,709,125 × 85,487,709,125
  4. Step 4: Simplify right side
    57,323,206,265x = 7,308,148,411,440,608,313,344
  5. Step 5: Solve for x
    x = 7,308,148,411,440,608,313,344/57,323,206,265
  6. Step 6: Final answer
    x = 127,490,224,075.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.