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Finding the Third Proportional to 488,516,960 and 1,053,559,264

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Solution

The third proportional to 488,516,960 and 1,053,559,264 is: 2,272,156,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,516,960 : 1,053,559,264 = 1,053,559,264 : x
  2. Step 2: Convert to fraction form
    488,516,960/1,053,559,264 = 1,053,559,264/x
  3. Step 3: Cross multiply
    488,516,960x = 1,053,559,264 × 1,053,559,264
  4. Step 4: Simplify right side
    488,516,960x = 1,109,987,122,760,221,696
  5. Step 5: Solve for x
    x = 1,109,987,122,760,221,696/488,516,960
  6. Step 6: Final answer
    x = 2,272,156,779.90

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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.