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Finding the Third Proportional to 9,639,909,316 and 14,896,118,022

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Solution

The third proportional to 9,639,909,316 and 14,896,118,022 is: 23,018,300,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639,909,316 : 14,896,118,022 = 14,896,118,022 : x
  2. Step 2: Convert to fraction form
    9,639,909,316/14,896,118,022 = 14,896,118,022/x
  3. Step 3: Cross multiply
    9,639,909,316x = 14,896,118,022 × 14,896,118,022
  4. Step 4: Simplify right side
    9,639,909,316x = 221,894,332,125,353,181,184
  5. Step 5: Solve for x
    x = 221,894,332,125,353,181,184/9,639,909,316
  6. Step 6: Final answer
    x = 23,018,300,779.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.