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Finding the Third Proportional to 563,622,845.63 and 1,165,908,025.13

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Solution

The third proportional to 563,622,845.63 and 1,165,908,025.13 is: 2,411,792,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,622,845.63 : 1,165,908,025.13 = 1,165,908,025.13 : x
  2. Step 2: Convert to fraction form
    563,622,845.63/1,165,908,025.13 = 1,165,908,025.13/x
  3. Step 3: Cross multiply
    563,622,845.63x = 1,165,908,025.13 × 1,165,908,025.13
  4. Step 4: Simplify right side
    563,622,845.63x = 1,359,341,523,050,877,696
  5. Step 5: Solve for x
    x = 1,359,341,523,050,877,696/563,622,845.63
  6. Step 6: Final answer
    x = 2,411,792,803.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.