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Finding the Third Proportional to 625,072,136 and 919,539,084

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Solution

The third proportional to 625,072,136 and 919,539,084 is: 1,352,727,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,072,136 : 919,539,084 = 919,539,084 : x
  2. Step 2: Convert to fraction form
    625,072,136/919,539,084 = 919,539,084/x
  3. Step 3: Cross multiply
    625,072,136x = 919,539,084 × 919,539,084
  4. Step 4: Simplify right side
    625,072,136x = 845,552,127,003,559,040
  5. Step 5: Solve for x
    x = 845,552,127,003,559,040/625,072,136
  6. Step 6: Final answer
    x = 1,352,727,274.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.