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Finding the Third Proportional to 65,736,047,624.63 and 143,574,948,045

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Solution

The third proportional to 65,736,047,624.63 and 143,574,948,045 is: 313,583,892,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,736,047,624.63 : 143,574,948,045 = 143,574,948,045 : x
  2. Step 2: Convert to fraction form
    65,736,047,624.63/143,574,948,045 = 143,574,948,045/x
  3. Step 3: Cross multiply
    65,736,047,624.63x = 143,574,948,045 × 143,574,948,045
  4. Step 4: Simplify right side
    65,736,047,624.63x = 20,613,765,706,124,447,711,232
  5. Step 5: Solve for x
    x = 20,613,765,706,124,447,711,232/65,736,047,624.63
  6. Step 6: Final answer
    x = 313,583,892,719.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.