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Finding the Third Proportional to 336,292,845.75 and 473,368,069.13

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Solution

The third proportional to 336,292,845.75 and 473,368,069.13 is: 666,316,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,292,845.75 : 473,368,069.13 = 473,368,069.13 : x
  2. Step 2: Convert to fraction form
    336,292,845.75/473,368,069.13 = 473,368,069.13/x
  3. Step 3: Cross multiply
    336,292,845.75x = 473,368,069.13 × 473,368,069.13
  4. Step 4: Simplify right side
    336,292,845.75x = 224,077,328,867,130,784
  5. Step 5: Solve for x
    x = 224,077,328,867,130,784/336,292,845.75
  6. Step 6: Final answer
    x = 666,316,074.51

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.