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Finding the Third Proportional to 785,573,355 and 1,178,360,032.50

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Solution

The third proportional to 785,573,355 and 1,178,360,032.50 is: 1,767,540,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,573,355 : 1,178,360,032.50 = 1,178,360,032.50 : x
  2. Step 2: Convert to fraction form
    785,573,355/1,178,360,032.50 = 1,178,360,032.50/x
  3. Step 3: Cross multiply
    785,573,355x = 1,178,360,032.50 × 1,178,360,032.50
  4. Step 4: Simplify right side
    785,573,355x = 1,388,532,366,193,401,088
  5. Step 5: Solve for x
    x = 1,388,532,366,193,401,088/785,573,355
  6. Step 6: Final answer
    x = 1,767,540,048.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.