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Finding the Third Proportional to 561,519,306 and 1,211,822,430

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Solution

The third proportional to 561,519,306 and 1,211,822,430 is: 2,615,250,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,519,306 : 1,211,822,430 = 1,211,822,430 : x
  2. Step 2: Convert to fraction form
    561,519,306/1,211,822,430 = 1,211,822,430/x
  3. Step 3: Cross multiply
    561,519,306x = 1,211,822,430 × 1,211,822,430
  4. Step 4: Simplify right side
    561,519,306x = 1,468,513,601,851,105,024
  5. Step 5: Solve for x
    x = 1,468,513,601,851,105,024/561,519,306
  6. Step 6: Final answer
    x = 2,615,250,421.77

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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.