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Finding the Third Proportional to 563,622,856.50 and 1,165,908,046.50

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Solution

The third proportional to 563,622,856.50 and 1,165,908,046.50 is: 2,411,792,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,622,856.50 : 1,165,908,046.50 = 1,165,908,046.50 : x
  2. Step 2: Convert to fraction form
    563,622,856.50/1,165,908,046.50 = 1,165,908,046.50/x
  3. Step 3: Cross multiply
    563,622,856.50x = 1,165,908,046.50 × 1,165,908,046.50
  4. Step 4: Simplify right side
    563,622,856.50x = 1,359,341,572,893,446,144
  5. Step 5: Solve for x
    x = 1,359,341,572,893,446,144/563,622,856.50
  6. Step 6: Final answer
    x = 2,411,792,845.55

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