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Finding the Third Proportional to 625,688,339.63 and 946,585,315.13

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Solution

The third proportional to 625,688,339.63 and 946,585,315.13 is: 1,432,060,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,688,339.63 : 946,585,315.13 = 946,585,315.13 : x
  2. Step 2: Convert to fraction form
    625,688,339.63/946,585,315.13 = 946,585,315.13/x
  3. Step 3: Cross multiply
    625,688,339.63x = 946,585,315.13 × 946,585,315.13
  4. Step 4: Simplify right side
    625,688,339.63x = 896,023,758,810,295,552
  5. Step 5: Solve for x
    x = 896,023,758,810,295,552/625,688,339.63
  6. Step 6: Final answer
    x = 1,432,060,823.36

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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.