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Finding the Third Proportional to 191,313,266,967 and 411,018,038,604

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Solution

The third proportional to 191,313,266,967 and 411,018,038,604 is: 883,032,477,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,313,266,967 : 411,018,038,604 = 411,018,038,604 : x
  2. Step 2: Convert to fraction form
    191,313,266,967/411,018,038,604 = 411,018,038,604/x
  3. Step 3: Cross multiply
    191,313,266,967x = 411,018,038,604 × 411,018,038,604
  4. Step 4: Simplify right side
    191,313,266,967x = 168,935,828,057,879,226,613,760
  5. Step 5: Solve for x
    x = 168,935,828,057,879,226,613,760/191,313,266,967
  6. Step 6: Final answer
    x = 883,032,477,235.46

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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.