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Finding the Third Proportional to 807,146,094 and 1,154,220,289.50

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Solution

The third proportional to 807,146,094 and 1,154,220,289.50 is: 1,650,536,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,146,094 : 1,154,220,289.50 = 1,154,220,289.50 : x
  2. Step 2: Convert to fraction form
    807,146,094/1,154,220,289.50 = 1,154,220,289.50/x
  3. Step 3: Cross multiply
    807,146,094x = 1,154,220,289.50 × 1,154,220,289.50
  4. Step 4: Simplify right side
    807,146,094x = 1,332,224,476,693,463,808
  5. Step 5: Solve for x
    x = 1,332,224,476,693,463,808/807,146,094
  6. Step 6: Final answer
    x = 1,650,536,980.35

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.