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Finding the Third Proportional to 532,329,742.50 and 1,164,841,581

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Solution

The third proportional to 532,329,742.50 and 1,164,841,581 is: 2,548,901,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,329,742.50 : 1,164,841,581 = 1,164,841,581 : x
  2. Step 2: Convert to fraction form
    532,329,742.50/1,164,841,581 = 1,164,841,581/x
  3. Step 3: Cross multiply
    532,329,742.50x = 1,164,841,581 × 1,164,841,581
  4. Step 4: Simplify right side
    532,329,742.50x = 1,356,855,908,826,579,456
  5. Step 5: Solve for x
    x = 1,356,855,908,826,579,456/532,329,742.50
  6. Step 6: Final answer
    x = 2,548,901,180.04

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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.