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Finding the Third Proportional to 430,347,718,688 and 941,763,514,240

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Solution

The third proportional to 430,347,718,688 and 941,763,514,240 is: 2,060,934,630,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,347,718,688 : 941,763,514,240 = 941,763,514,240 : x
  2. Step 2: Convert to fraction form
    430,347,718,688/941,763,514,240 = 941,763,514,240/x
  3. Step 3: Cross multiply
    430,347,718,688x = 941,763,514,240 × 941,763,514,240
  4. Step 4: Simplify right side
    430,347,718,688x = 886,918,516,753,674,713,169,920
  5. Step 5: Solve for x
    x = 886,918,516,753,674,713,169,920/430,347,718,688
  6. Step 6: Final answer
    x = 2,060,934,630,855.30

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Why These Related Problems?

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