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Finding the Third Proportional to 625,688,805 and 946,586,106

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Solution

The third proportional to 625,688,805 and 946,586,106 is: 1,432,062,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,688,805 : 946,586,106 = 946,586,106 : x
  2. Step 2: Convert to fraction form
    625,688,805/946,586,106 = 946,586,106/x
  3. Step 3: Cross multiply
    625,688,805x = 946,586,106 × 946,586,106
  4. Step 4: Simplify right side
    625,688,805x = 896,025,256,072,243,200
  5. Step 5: Solve for x
    x = 896,025,256,072,243,200/625,688,805
  6. Step 6: Final answer
    x = 1,432,062,151.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.