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Finding the Third Proportional to 478,660,320 and 1,048,122,301.50

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Solution

The third proportional to 478,660,320 and 1,048,122,301.50 is: 2,295,072,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,660,320 : 1,048,122,301.50 = 1,048,122,301.50 : x
  2. Step 2: Convert to fraction form
    478,660,320/1,048,122,301.50 = 1,048,122,301.50/x
  3. Step 3: Cross multiply
    478,660,320x = 1,048,122,301.50 × 1,048,122,301.50
  4. Step 4: Simplify right side
    478,660,320x = 1,098,560,358,901,656,960
  5. Step 5: Solve for x
    x = 1,098,560,358,901,656,960/478,660,320
  6. Step 6: Final answer
    x = 2,295,072,963.02

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