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Finding the Third Proportional to 808,616,598 and 1,242,134,101.50

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Solution

The third proportional to 808,616,598 and 1,242,134,101.50 is: 1,908,070,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,616,598 : 1,242,134,101.50 = 1,242,134,101.50 : x
  2. Step 2: Convert to fraction form
    808,616,598/1,242,134,101.50 = 1,242,134,101.50/x
  3. Step 3: Cross multiply
    808,616,598x = 1,242,134,101.50 × 1,242,134,101.50
  4. Step 4: Simplify right side
    808,616,598x = 1,542,897,126,109,212,416
  5. Step 5: Solve for x
    x = 1,542,897,126,109,212,416/808,616,598
  6. Step 6: Final answer
    x = 1,908,070,066.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.