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Finding the Third Proportional to 975,810,160.69 and 1,486,583,809.88

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Solution

The third proportional to 975,810,160.69 and 1,486,583,809.88 is: 2,264,714,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,810,160.69 : 1,486,583,809.88 = 1,486,583,809.88 : x
  2. Step 2: Convert to fraction form
    975,810,160.69/1,486,583,809.88 = 1,486,583,809.88/x
  3. Step 3: Cross multiply
    975,810,160.69x = 1,486,583,809.88 × 1,486,583,809.88
  4. Step 4: Simplify right side
    975,810,160.69x = 2,209,931,423,782,470,144
  5. Step 5: Solve for x
    x = 2,209,931,423,782,470,144/975,810,160.69
  6. Step 6: Final answer
    x = 2,264,714,503.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.