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Finding the Third Proportional to 14,046,348,157.50 and 20,294,547,451.50

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Solution

The third proportional to 14,046,348,157.50 and 20,294,547,451.50 is: 29,322,116,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046,348,157.50 : 20,294,547,451.50 = 20,294,547,451.50 : x
  2. Step 2: Convert to fraction form
    14,046,348,157.50/20,294,547,451.50 = 20,294,547,451.50/x
  3. Step 3: Cross multiply
    14,046,348,157.50x = 20,294,547,451.50 × 20,294,547,451.50
  4. Step 4: Simplify right side
    14,046,348,157.50x = 411,868,656,261,185,142,784
  5. Step 5: Solve for x
    x = 411,868,656,261,185,142,784/14,046,348,157.50
  6. Step 6: Final answer
    x = 29,322,116,442.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.