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Finding the Third Proportional to 2,602,314,307.13 and 3,964,487,302.69

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Solution

The third proportional to 2,602,314,307.13 and 3,964,487,302.69 is: 6,039,685,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,314,307.13 : 3,964,487,302.69 = 3,964,487,302.69 : x
  2. Step 2: Convert to fraction form
    2,602,314,307.13/3,964,487,302.69 = 3,964,487,302.69/x
  3. Step 3: Cross multiply
    2,602,314,307.13x = 3,964,487,302.69 × 3,964,487,302.69
  4. Step 4: Simplify right side
    2,602,314,307.13x = 15,717,159,573,170,409,472
  5. Step 5: Solve for x
    x = 15,717,159,573,170,409,472/2,602,314,307.13
  6. Step 6: Final answer
    x = 6,039,685,340.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.