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Finding the Third Proportional to 121,690,740,449 and 260,128,605,442

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Solution

The third proportional to 121,690,740,449 and 260,128,605,442 is: 556,056,205,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,690,740,449 : 260,128,605,442 = 260,128,605,442 : x
  2. Step 2: Convert to fraction form
    121,690,740,449/260,128,605,442 = 260,128,605,442/x
  3. Step 3: Cross multiply
    121,690,740,449x = 260,128,605,442 × 260,128,605,442
  4. Step 4: Simplify right side
    121,690,740,449x = 67,666,891,369,199,710,502,912
  5. Step 5: Solve for x
    x = 67,666,891,369,199,710,502,912/121,690,740,449
  6. Step 6: Final answer
    x = 556,056,205,423.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.