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Finding the Third Proportional to 463,709,610 and 1,000,058,509.13

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Solution

The third proportional to 463,709,610 and 1,000,058,509.13 is: 2,156,774,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,709,610 : 1,000,058,509.13 = 1,000,058,509.13 : x
  2. Step 2: Convert to fraction form
    463,709,610/1,000,058,509.13 = 1,000,058,509.13/x
  3. Step 3: Cross multiply
    463,709,610x = 1,000,058,509.13 × 1,000,058,509.13
  4. Step 4: Simplify right side
    463,709,610x = 1,000,117,021,673,317,760
  5. Step 5: Solve for x
    x = 1,000,117,021,673,317,760/463,709,610
  6. Step 6: Final answer
    x = 2,156,774,412.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.