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Finding the Third Proportional to 1,013,071,752 and 1,513,644,024

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Solution

The third proportional to 1,013,071,752 and 1,513,644,024 is: 2,261,555,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,071,752 : 1,513,644,024 = 1,513,644,024 : x
  2. Step 2: Convert to fraction form
    1,013,071,752/1,513,644,024 = 1,513,644,024/x
  3. Step 3: Cross multiply
    1,013,071,752x = 1,513,644,024 × 1,513,644,024
  4. Step 4: Simplify right side
    1,013,071,752x = 2,291,118,231,390,912,512
  5. Step 5: Solve for x
    x = 2,291,118,231,390,912,512/1,013,071,752
  6. Step 6: Final answer
    x = 2,261,555,735.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.