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Finding the Third Proportional to 53,075,613,492 and 116,148,301,416

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Solution

The third proportional to 53,075,613,492 and 116,148,301,416 is: 254,173,753,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,075,613,492 : 116,148,301,416 = 116,148,301,416 : x
  2. Step 2: Convert to fraction form
    53,075,613,492/116,148,301,416 = 116,148,301,416/x
  3. Step 3: Cross multiply
    53,075,613,492x = 116,148,301,416 × 116,148,301,416
  4. Step 4: Simplify right side
    53,075,613,492x = 13,490,427,921,821,987,766,272
  5. Step 5: Solve for x
    x = 13,490,427,921,821,987,766,272/53,075,613,492
  6. Step 6: Final answer
    x = 254,173,753,900.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.