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Finding the Third Proportional to 191,313,267,024 and 411,018,038,664

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Solution

The third proportional to 191,313,267,024 and 411,018,038,664 is: 883,032,477,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,313,267,024 : 411,018,038,664 = 411,018,038,664 : x
  2. Step 2: Convert to fraction form
    191,313,267,024/411,018,038,664 = 411,018,038,664/x
  3. Step 3: Cross multiply
    191,313,267,024x = 411,018,038,664 × 411,018,038,664
  4. Step 4: Simplify right side
    191,313,267,024x = 168,935,828,107,201,389,527,040
  5. Step 5: Solve for x
    x = 168,935,828,107,201,389,527,040/191,313,267,024
  6. Step 6: Final answer
    x = 883,032,477,230.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.