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Finding the Third Proportional to 532,276,306 and 1,164,894,495

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Solution

The third proportional to 532,276,306 and 1,164,894,495 is: 2,549,388,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,276,306 : 1,164,894,495 = 1,164,894,495 : x
  2. Step 2: Convert to fraction form
    532,276,306/1,164,894,495 = 1,164,894,495/x
  3. Step 3: Cross multiply
    532,276,306x = 1,164,894,495 × 1,164,894,495
  4. Step 4: Simplify right side
    532,276,306x = 1,356,979,184,481,305,088
  5. Step 5: Solve for x
    x = 1,356,979,184,481,305,088/532,276,306
  6. Step 6: Final answer
    x = 2,549,388,671.23

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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.