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Finding the Third Proportional to 21,249,639,280 and 31,757,340,688

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Solution

The third proportional to 21,249,639,280 and 31,757,340,688 is: 47,460,979,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249,639,280 : 31,757,340,688 = 31,757,340,688 : x
  2. Step 2: Convert to fraction form
    21,249,639,280/31,757,340,688 = 31,757,340,688/x
  3. Step 3: Cross multiply
    21,249,639,280x = 31,757,340,688 × 31,757,340,688
  4. Step 4: Simplify right side
    21,249,639,280x = 1,008,528,687,573,700,313,088
  5. Step 5: Solve for x
    x = 1,008,528,687,573,700,313,088/21,249,639,280
  6. Step 6: Final answer
    x = 47,460,979,185.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.