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Finding the Third Proportional to 1,553,657,224 and 2,369,263,898

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Solution

The third proportional to 1,553,657,224 and 2,369,263,898 is: 3,613,030,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553,657,224 : 2,369,263,898 = 2,369,263,898 : x
  2. Step 2: Convert to fraction form
    1,553,657,224/2,369,263,898 = 2,369,263,898/x
  3. Step 3: Cross multiply
    1,553,657,224x = 2,369,263,898 × 2,369,263,898
  4. Step 4: Simplify right side
    1,553,657,224x = 5,613,411,418,366,154,752
  5. Step 5: Solve for x
    x = 5,613,411,418,366,154,752/1,553,657,224
  6. Step 6: Final answer
    x = 3,613,030,809.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.