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Finding the Third Proportional to 581,677,477.50 and 1,272,809,931

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Solution

The third proportional to 581,677,477.50 and 1,272,809,931 is: 2,785,126,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,677,477.50 : 1,272,809,931 = 1,272,809,931 : x
  2. Step 2: Convert to fraction form
    581,677,477.50/1,272,809,931 = 1,272,809,931/x
  3. Step 3: Cross multiply
    581,677,477.50x = 1,272,809,931 × 1,272,809,931
  4. Step 4: Simplify right side
    581,677,477.50x = 1,620,045,120,452,224,768
  5. Step 5: Solve for x
    x = 1,620,045,120,452,224,768/581,677,477.50
  6. Step 6: Final answer
    x = 2,785,126,093.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.