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Finding the Third Proportional to 77,726,249,968 and 119,417,792,614

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Solution

The third proportional to 77,726,249,968 and 119,417,792,614 is: 183,472,240,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,726,249,968 : 119,417,792,614 = 119,417,792,614 : x
  2. Step 2: Convert to fraction form
    77,726,249,968/119,417,792,614 = 119,417,792,614/x
  3. Step 3: Cross multiply
    77,726,249,968x = 119,417,792,614 × 119,417,792,614
  4. Step 4: Simplify right side
    77,726,249,968x = 14,260,609,192,800,313,933,824
  5. Step 5: Solve for x
    x = 14,260,609,192,800,313,933,824/77,726,249,968
  6. Step 6: Final answer
    x = 183,472,240,056.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.