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Finding the Third Proportional to 6,174,683,830,208.70 and 9,341,440,639,886.70

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Solution

The third proportional to 6,174,683,830,208.70 and 9,341,440,639,886.70 is: 14,132,304,686,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174,683,830,208.70 : 9,341,440,639,886.70 = 9,341,440,639,886.70 : x
  2. Step 2: Convert to fraction form
    6,174,683,830,208.70/9,341,440,639,886.70 = 9,341,440,639,886.70/x
  3. Step 3: Cross multiply
    6,174,683,830,208.70x = 9,341,440,639,886.70 × 9,341,440,639,886.70
  4. Step 4: Simplify right side
    6,174,683,830,208.70x = 87,262,513,228,526,817,485,258,752
  5. Step 5: Solve for x
    x = 87,262,513,228,526,817,485,258,752/6,174,683,830,208.70
  6. Step 6: Final answer
    x = 14,132,304,686,048.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.