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Finding the Third Proportional to 5,111,255,680 and 7,851,514,592

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Solution

The third proportional to 5,111,255,680 and 7,851,514,592 is: 12,060,887,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111,255,680 : 7,851,514,592 = 7,851,514,592 : x
  2. Step 2: Convert to fraction form
    5,111,255,680/7,851,514,592 = 7,851,514,592/x
  3. Step 3: Cross multiply
    5,111,255,680x = 7,851,514,592 × 7,851,514,592
  4. Step 4: Simplify right side
    5,111,255,680x = 61,646,281,388,388,925,440
  5. Step 5: Solve for x
    x = 61,646,281,388,388,925,440/5,111,255,680
  6. Step 6: Final answer
    x = 12,060,887,822.46

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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.