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Finding the Third Proportional to 563,506,458.75 and 877,460,640.75

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Solution

The third proportional to 563,506,458.75 and 877,460,640.75 is: 1,366,332,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,506,458.75 : 877,460,640.75 = 877,460,640.75 : x
  2. Step 2: Convert to fraction form
    563,506,458.75/877,460,640.75 = 877,460,640.75/x
  3. Step 3: Cross multiply
    563,506,458.75x = 877,460,640.75 × 877,460,640.75
  4. Step 4: Simplify right side
    563,506,458.75x = 769,937,176,065,400,576
  5. Step 5: Solve for x
    x = 769,937,176,065,400,576/563,506,458.75
  6. Step 6: Final answer
    x = 1,366,332,477.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.