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Finding the Third Proportional to 529,692,460.13 and 826,724,085.75

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Solution

The third proportional to 529,692,460.13 and 826,724,085.75 is: 1,290,319,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,692,460.13 : 826,724,085.75 = 826,724,085.75 : x
  2. Step 2: Convert to fraction form
    529,692,460.13/826,724,085.75 = 826,724,085.75/x
  3. Step 3: Cross multiply
    529,692,460.13x = 826,724,085.75 × 826,724,085.75
  4. Step 4: Simplify right side
    529,692,460.13x = 683,472,713,959,173,376
  5. Step 5: Solve for x
    x = 683,472,713,959,173,376/529,692,460.13
  6. Step 6: Final answer
    x = 1,290,319,884.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.