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Finding the Third Proportional to 653,118,750 and 1,410,134,498

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Solution

The third proportional to 653,118,750 and 1,410,134,498 is: 3,044,590,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,118,750 : 1,410,134,498 = 1,410,134,498 : x
  2. Step 2: Convert to fraction form
    653,118,750/1,410,134,498 = 1,410,134,498/x
  3. Step 3: Cross multiply
    653,118,750x = 1,410,134,498 × 1,410,134,498
  4. Step 4: Simplify right side
    653,118,750x = 1,988,479,302,449,712,128
  5. Step 5: Solve for x
    x = 1,988,479,302,449,712,128/653,118,750
  6. Step 6: Final answer
    x = 3,044,590,746.25

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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.